A $2-$slit arrangement with a $200\mathrm{.}9$ m separation between the slits is illuminated with $543\mathrm{.}6$ nm light. Assuming that a viewing screen is located $2\mathrm{.}33$ m from the slits, find the distance from the first dark fringe on one side of the central maximum to the second dark fringe on the other side.

Answer in mm$.$