[noun (means/intermediary)] + を通じて / を通して
[noun (time period)] + を通じて / を通して
Before a noun, the forms are をつうじて通じての and をとおした通した.
After a stretch of time, the same pair means "throughout": the whole period, with no break.
In most sentences either works. を通して puts more weight on someone deliberately using a person or channel to get something done, so it suits a go-between you choose. を通じて is more neutral and suits a channel things simply travel along, like a network or the media.
For physically going through a place, use the verb とおる通る with を. を通して and を通じて are for means and periods, not for routes.