A new firmware update is now rolling out for the Sony Xperia ZR (C550X). Firmware build 10.3.1.A.2.67 is hitting both HSPA+ (C5502) and LTE (C5503) handsets. This update brings Android 4.2.2 to Indian C5502 handsets, which did not receive the 10.3.1.A.0.244 firmware update, that brought Android 4.2.2 to C5503 models. This particular Android 4.2.2 firmware version is expected to hit other Xperia Z series handsets shortly.
You do use the Xperia ZR check and update via PC Companion