250,000 meters is roughly 820,000 feet. You can check your progress by going to EXTRAS > STATS > PAGE 3. I am currently at 82% completion and have super sprinted 470,000 feet. The easiest method is what Gamer4LifeXD suggested, but to help with the progress, super sprint as often as you can during the campaign. Gliding and jumping doesn't add to the progress; you need to be sprinting on the ground.
Edit: It seems the achievement glitched on me. It unlocked at 476,000 feet while I was in the middle of
I had to dashboard the game two times since it was stuck at a loading screen indefinitely. I'm not sure if that had anything to do with it or not.