The quickest way to tame it and knock it out is by getting a really good bow from kill dilo quest

Make in the very least 5 dodo Egg Kibble (parasaur gets carrots better)

Use a Bola to keep it still,and tranq it

Give it the kibble and inba few minutes you tame it

(Meat works but it takes 1 hour or longer)

More Pteranodon Taming & KO Tips