The Brief A man is missing in Lake Michigan following a Thursday incident near Rainbow Beach in Chicago’s South Shore neighborhood. A woman was rescued and hospitalized; she is in good condition. Authorities, including divers and boats, are continuing a recovery mission for the missing man; further details have not been released. A man is missing in Lake Michigan, and a woman is hospitalized following a Thursday incident near Rainbow Beach, authorities said. What we know:The incident happened afternoon in the South Shore neighborhood.