When we want to convey the idea of something that is "in process of reaching," we might consider using synonyms that convey similar meanings. For example, we could use the phrase "in the midst of achieving," to suggest that progress is being made and the goal is within grasp. Alternatively, "on the brink of attaining" could be used to convey a sense of near-completion, with only a final step or two left to take. Other synonyms might include "approaching completion," "closing in on," "nearing achievement," or "advancing towards the finish line." Each of these phrases suggests progress and forward motion towards a goal, while also acknowledging that there is still work to be done.