Finding the Third Proportional to 309,665 and 452,548

Step by Step Solution

1. Step 1: Write the proportion equation
   309,665 : 452,548 = 452,548 : x
2. Step 2: Convert to fraction form
   309,665/452,548 = 452,548/x
3. Step 3: Cross multiply
   309,665x = 452,548 × 452,548
4. Step 4: Simplify right side
   309,665x = 204,799,692,304
5. Step 5: Solve for x
   x = 204,799,692,304/309,665
6. Step 6: Final answer
   x = 661,358.86