On July 1, 2012, about 1530 eastern daylight time, a Cessna R172K, N758JQ, registered to and operated by a private individual, was landed hard during a forced landing at Greene Airport (4N7), Greene, New York. Visual meteorological conditions prevailed at the time and no flight plan was filed for the 14 Code of Federal Regulations (CFR) Part 91 personal flight from Becks Grove Airport (K16), Rome, New York, to Chenango Bridge Airport (1NK8), Binghamton, New York. The airplane sustained substantial damage, and the private pilot, the sole occupant was not injured. The flight originated from K16 about 1450. The pilot stated that part of his preflight check included checking the engine oil quantity, which indicated 8 quarts (full). After takeoff, the he climbed to 4,500 feet and proceeded towards the destination airport. About 25 minutes into the flight, after passing 4N7, the engine began to run rough followed by a loss of engine power. He turned to 4N7, and then described hearing metallic grinding sounds, and reported the engine power continued to decrease. Unable to maintain altitude due to the loss of engine power, he elected to land downwind on runway 07. He reported that the flight was about 100 knots at the threshold, and about midpoint of the runway the main landing gear contacted the surface. He then pushed on the control yoke forcing the nose landing gear onto the runway in an effort to stop the airplane before running off the end down a steep embankment. The airplane came to rest upright about ¾ down the runway. Examination of the airplane by a Federal Aviation Administration (FAA) airworthiness inspector revealed damage to the lower portion of the firewall and a compression wrinkle on the left lower fuselage skin aft of the firewall. Examination of the engine revealed the head of the No. 3 cylinder assembly was separated from the barrel, which remained secured to the engine crankcase. The No. 3 cylinder and piston were retained for further examination. Examination of the No. 3 cylinder and piston was by personnel of the NTSB Materials Laboratory located Washington, D.C. The examination of the cylinder revealed the barrel was fractured at the location where it intersected the cylinder head; however, the threaded end of the barrel remained within the cylinder head. Corrosion was observed on and between the cooling fins of the cylinder head, and protruding and crater shaped blisters were noted. Paint was noted to cover the protruding blisters and many of the crater shaped blisters. The fracture surface was cleaned and examination revealed two areas of relatively flat surfaces with curving crack arrest lines consistent with fatigue; both of which originated from corrosion pits on the outer surface. There was no record that the No. 3 cylinder had been replaced since the airplane was manufactured in 1979, although in 1986, the engine was repaired which resulted in removal of the cylinders and replacement of components of the cylinders. Additionally, in 1987, the engine horsepower was increased from 195 to 210; no modifications to the engine powertrain were necessary. The engine was last inspected in accordance with a 100-Hour inspection on November 23, 2011, and during the inspection, differential compression testing of the cylinders was performed using 80 psi (standard). The entry in the engine logbook reflects that during testing of the No. 3 cylinder, it held 76 psi. The engine had accrued about 9 hours since the inspection at the time of the accident, and the airframe total time at the time of the accident was reported to be 1,358. The engine manufacturer recommends that the engine be overhauled every 1500 hours or every 12 years; the owner reported that the engine had not been overhauled since installation. Operating under 14 CFR Part 91, the owner was not required to adhere to the manufacturer's recommendation.