Having a promising future; showing potential for success or advancement (yojijukugo).
彼は若くして重要なプロジェクトを任され、前途有望だと評判だ。
He was entrusted with an important project at a young age and is reputed to have a promising future.
あの新入社員は知識もあり、前途有望に見える。
That new employee seems promising; he has knowledge and potential.
才能を開花させれば、前途有望なスポーツ選手になるだろう。
If they develop their talent, they will likely become a promising athlete.