Finding the Third Proportional to 137,304 and 320,780

Step by Step Solution

1. Step 1: Write the proportion equation
   137,304 : 320,780 = 320,780 : x
2. Step 2: Convert to fraction form
   137,304/320,780 = 320,780/x
3. Step 3: Cross multiply
   137,304x = 320,780 × 320,780
4. Step 4: Simplify right side
   137,304x = 102,899,808,400
5. Step 5: Solve for x
   x = 102,899,808,400/137,304
6. Step 6: Final answer
   x = 749,430.52