STUDENT PLT LANDED AT WRONG ARPT ON SOLO XCOUNTRY.

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THE HDG TO PIA IS 195 DEGS. WITH WIND CORRECTION IT WOULD HAVE BEEN 207 DEGS. AFTER TKOF I WAS INSTRUCTED TO FLY A HDG OF 230 DEGS AND CONTACT DEP. AFTER FLYING THIS HDG FOR AWHILE I TURNED S TO A HDG OF 207 DEGS WHICH LEFT ME FLYING TOWARD MLI. THINKING I HAD REACHED PIA I USED THEIR FREQ TRYING TO CONTACT THE PIA ARPT. AFTER TRYING SEVERAL TIMES WITH NO SUCCESS; I THOUGHT IT MAY HAVE BEEN THE RADIO. SO I CHKED THE AREA FOR TFC; I THEN CHKED THE RWY AND PROCEEDED TO LAND. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STUDENT PLT ON SOLO XCOUNTRY BECAME DISORIENTED; AND THINKING HE WAS AT PIA; WAS ACTUALLY AT MLI. THUS; WHEN ATTEMPTING TO CONTACT PIA TWR; THERE WAS NO RESPONSE (BEING THE WRONG FREQ); AND THEN HE THOUGHT HE HAD LOST HIS RADIOS. RPTR CIRCLED THE ARPT BUT DIDN'T SEE ANY LIGHT SIGNAL FROM THE TWR; BUT LANDED ANYWAY. AFTER CLRING THE RWY; HE WAS MET BY A POLICE CAR WHO QUESTIONED HIM AND INSTRUCTED HIM TO CONTACT THE TWR BY TELEPHONE. AFTER PROVIDING THE TWR WITH THE INFO THEY REQUESTED; HE FLEW BACK TO HIS BASE OF ORIGIN; ROCKFORD. SUBSEQUENTLY; BOTH MLI TWR AND THE FAA CONTACTED THE RPTR'S FLT INSTRUCTOR. IN FACT; IT WAS HIS FLT INSTRUCTOR WHO SUBMITTED THE RPT WITH HIS NARRATIVE ATTACHED. THE RPTR HAD NO IDEA WHO ASRS WAS; OR FOR THAT MATTER; NASA.