Finding the Third Proportional to 209,632.50 and 322,605

Step by Step Solution

1. Step 1: Write the proportion equation
   209,632.50 : 322,605 = 322,605 : x
2. Step 2: Convert to fraction form
   209,632.50/322,605 = 322,605/x
3. Step 3: Cross multiply
   209,632.50x = 322,605 × 322,605
4. Step 4: Simplify right side
   209,632.50x = 104,073,986,025
5. Step 5: Solve for x
   x = 104,073,986,025/209,632.50
6. Step 6: Final answer
   x = 496,459.21