Finding the Third Proportional to 153,499 and 314,605

Step by Step Solution

1. Step 1: Write the proportion equation
   153,499 : 314,605 = 314,605 : x
2. Step 2: Convert to fraction form
   153,499/314,605 = 314,605/x
3. Step 3: Cross multiply
   153,499x = 314,605 × 314,605
4. Step 4: Simplify right side
   153,499x = 98,976,306,025
5. Step 5: Solve for x
   x = 98,976,306,025/153,499
6. Step 6: Final answer
   x = 644,800.98