A LIGHT CARGO ACFT IS INTERCEPTED BY A MIL ACFT WHEN IN PROX OF A POWER PLANT LISTED IN THE PUBLISHED TFR NEAR ZZZ; US.

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I STAYED AT FBO BEFORE MY FLT TO ZZZ ARPT. WHILE THERE I USED THEIR WX SVCS WSI SYSTEM. I SAW THAT IT MAY BE A VFR FLT TO ZZZ ARPT. I DID NOTICE THE NOTAMS ALONG THE RTE; BUT I TOOK IT THEY WERE THE SAME AS PREVIOUS FLTS TO ZZZ ARPT. I KNEW THE RTE RATHER WELL. I KNEW THERE WAS A PROHIBITED AREA NEAR MY RTE. I HAD FLOWN THE RTE MANY TIMES BEFORE; AND KNEW HOW TO AVOID THE PROHIBITED AREA. I DEPARTED ZZZ1 ARPT EARLY. I HAD ASKED FOR VFR FLT FOLLOWING TO ZZZ ARPT. UPON DEPARTING WAS ASKED TO TURN RIGHT ON A 190 DEG HDG AND CLB TO 4500 FT. UPON REACHING ZZZ2 AIRSPACE DEP TERMINATED RADAR SVCS. I FIGURED THEY WERE BUSY; SO I CONTINUED VFR ON MY OWN. I HAD THE LORAN SET TO AN INTXN TO AVOID THE PROHIBITED AREA AS USUAL. I NOTICED AN ACFT ON MY 8 O'CLOCK ABOUT 30 MILES AROUND 10000 FT. I NOTICED IT WAS MOVING QUICKLY TO MY 4 TO 5 O'CLOCK STILL 30 MILES; 10000 FT. WHEN I LOOKED AGAIN; IT WAS A LITTLE CLOSER THAN BEFORE. AT THIS TIME I KNEW I WAS NEAR THE PROHIBITED AREA. I DECIDED TO MONITOR 121.5 IN CASE I WAS BEING INTERCEPTED. A MIN AFTER; I HEARD SOMEONE ON 121.5 'CIVILIAN ACFT JUST W OF ZZZ2 CITY ACKNOWLEDGE.' I THEN KNEW IT WAS ME. SO; I ACKNOWLEDGED. PLT ASKED ME TO SWITCH TO FREQ. THE PLT ASKED WHAT HDG AM I ON. 'I WAS ON A 197 DEG HDG;' THE PLT ASKED 'CONFIRM YOU ARE AT 4000 FT.' I SAID; 'NEGATIVE I AM AT 4500 FT.' THE PLT ASKED WHERE IS MY DEST. THE PLTS ASKED FOR MY TAIL NUMBER AND WHERE DID I DEP FROM. 2 MINS LATER HE CAME UP ON MY LEFT WING AND ASKED IF I CAN SEE HIM. I SAID AFFIRMATIVE. 2 MINS LATER HE CLRED ME TO ZZZ ARPT AND FREQ CHANGE IS APPROVED. I DECIDED TO CALL UP APCH AND SHOOT AN ILS APCH TO ZZZ ARPT. THEY HAD ASKED ME TO CALL. I CALLED ON THE GND AND GAVE MY PERSONAL INFO. SHE TOLD ME I WENT THROUGH THE PROHIBITED AREA. SHE ASKED IF I KNEW THE PROHIBITED AREA WAS EXTENDED 15 MILES MORE W WARD. I SAID NO. SHE INFORMED ME THAT IT WAS DONE AT XA00 PM TODAY. SHE THEN TOLD ME THAT I WOULD BE VIOLATED FOR MY ACTIONS.