A system for determining a source location of a firearm discharge includes a plurality of monitoring stations and a central processing system. Each of the monitoring stations determines a time value of identification of a firearm discharge signature and transmits the time value. The central processing system 1) receives the time value from each of the monitoring stations; 2) determines, based on the time values, a geographic area that includes the source location of the firearm discharge; 3) determines a time of acoustic propagation from each of a plurality of randomly selected locations within the geographic area to each of the monitoring stations; 4) identifies the source location of the firearm discharge as the selected location for which difference in the time of acoustic propagation to each of the monitoring stations is closest to difference in the time values received from each of the monitoring stations.