The present invention teaches a method, system, terminals and service node for geographically positioning a first mobile radio terminal (MS1) within a radio network (100) comprising unsynchronised radio base stations by using a plurality of second fixed radio terminals (MS2) whereby the positions of the radio base stations and the second fixed radio terminals are known. First and second radio terminals (MS1,MS2) measure the relative receive times between the timing signals downlink (113-118) received from at least three radio base stations (BS1,BS2,BS3) and the second fixed radio terminals (MS2)send them to a service node (107) in the network (100) using them for calculating the transmission time offsets of the timing signals downlink. Calculating the position of the first mobile radio terminal (MS1) is performed either in the service node (107) in the network (100) or in the terminal (MS1) itself, after respectively sending relative receive time measurements from the first mobile radio terminal (MS1) to the service node (107), or broadcasting transmission time offset values and known positions from the service node (107) to the first radio terminal (MS1) to be positioned.