According to the pilot, since the Cessna 172 was “high,” he adjusted the flight controls for a “rapid” descent and intercepted the visual glideslope on short final. At that point, the flaps were fully deployed and the throttle at idle. Once over the runway, the pilot flared too “high,” the airplane landed hard and bounced about four times with each bounce becoming more “violent.” On the last bounce, the airplane touched down nosewheel first and the propeller struck the runway. The pilot added the runway was twice as long and twice as wide as his home runway, causing him to initiate the landing flare too high.