Be on their way towards - Idioms by The Free Dictionary
be (well) on the/(one's) way to/towards (something) (redirected from be on their way towards)
be (well) on the/(one's) way to/towards (something)
To be approaching a particular goal or outcome. With another stellar report card, you are well on your way to becoming valedictorian. He's on the way toward stardom after that performance.
be (well) on the/your way to/towards something be about to achieve something in the near future (usually something good): We’re on the way towards an election victory. ♢ He’s well on the way to establishing himself among the top ten players in the world.