Don't worry too much about the other guy. Yes, it can be a blow to the ego to see that someone else in your field has better numbers than you. And if competition drives you to improve your game, that's fine. But don't let the occasional comparison become regular obsession.
For one thing, the other guy's numbers could be artificially inflated. If someone has hundreds of thousands of followers but averages 10 likes per post, that means his audience is a mixture of fake accounts, people who were tricked into liking his page, and accounts people created for their pets. “Looks like we're very popular among Border Collies.”
Second, few people have staying power. Maybe they got lucky and exploded onto the scene with a bit of fanfare. But the majority of those people disappear just as quickly as they arrived. As an example, just look at all of those “overnight successes” on the various TV singing competitions. Six months later even their own parents have forgotten about them. I'm convinced some of those shows funnel contestant directly into the Witness Protection Program.
Create quality content over the long haul and that guy who sprinted to the front while yelling and waving his arms will soon be far behind and collapsed in exhaustion.