Hourly Forecast Detailed. 1  0am:The Central Square, NY forecast for Aug 27 is 58 degrees and Clear. 2  3am:The Central Square, NY forecast for Aug 27 is 52 degrees and Mist. 3  6am:The Central Square, NY forecast for Aug 27 is 44 degrees and Mist. 4  9am:The Central Square, NY forecast for Aug 27 is 52 degrees and Sunny.