Finding the Third Proportional to 31,129,371,194,840 and 64,835,302,132,904

Step by Step Solution

1. Step 1: Write the proportion equation
   31,129,371,194,840 : 64,835,302,132,904 = 64,835,302,132,904 : x
2. Step 2: Convert to fraction form
   31,129,371,194,840/64,835,302,132,904 = 64,835,302,132,904/x
3. Step 3: Cross multiply
   31,129,371,194,840x = 64,835,302,132,904 × 64,835,302,132,904
4. Step 4: Simplify right side
   31,129,371,194,840x = 4,203,616,402,664,946,017,115,308,032
5. Step 5: Solve for x
   x = 4,203,616,402,664,946,017,115,308,032/31,129,371,194,840
6. Step 6: Final answer
   x = 135,036,984,086,647.30