In spoken British English there's nothing particularly wrong with 'crosses through' although I think I'd go with 'passes through' in this instance as it's more technically accurate. Perhaps 'cuts through' could get the message over as well although I'd certainly favour 'passes'. 'Cross through' in colloquial English means what you suggest in the sentence, more than 'cross out', or at least it does in my part of England.
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David HattonHowever, once you analyse it I would guess that the 'through' is superfluous as 'crosses' already suggests something is going from one side to another.I will proudly say that this was also my thought:) Unfortunately I am not a native speaker and can never be fully sure if my intuition is correct or not...
ReegisThe zero meridian line crosses through Greenwich.I'd say The prime meridian passes through Greenwich.