Long distance shooting with a .22 is all about hold over.
My model 39 is sighted in just a fraction of an inch low at 25 yards, an inch high at 50 yards, two or three inches low at 100 yards, and about four feet low at 200 yards.
If I estimate the range correctly, then I stand a pretty good chance of guessing the holdover.
That rifle will shoot 1.5 MOA pretty reliably, and will shoot near MOA on a good day if I do my part and get lucky.
If I actually shoot 1.5 MOA, then I can expect inch and a half groups at 100 yards, and three inch groups at 200 yards. Obviously, hitting something smaller than my expected group size is not going to happen.
I've been pretty reliable out a little past 100 yards, but beyond that it's pretty much a Hail Mary kind of a shot where I hope for the best and lob it out there.
Shooting reliably out at 200 yards requires "Walking" the shot in until I figure out where my aimpoint actually is. Once I've figured out where to aim for a given target, I can usually hit it at will.
My advice is to go do it. Do it as much as it pleases you. You will only get better at it with experience.
After a while, you will get good at looking at a target, estimating the range, estimating the holdover, and you will be able to hit stuff out there far more than most folks believe possible.
At that point it really becomes fun.