Finding the Third Proportional to 309,684 and 452,582

Step by Step Solution

1. Step 1: Write the proportion equation
   309,684 : 452,582 = 452,582 : x
2. Step 2: Convert to fraction form
   309,684/452,582 = 452,582/x
3. Step 3: Cross multiply
   309,684x = 452,582 × 452,582
4. Step 4: Simplify right side
   309,684x = 204,830,466,724
5. Step 5: Solve for x
   x = 204,830,466,724/309,684
6. Step 6: Final answer
   x = 661,417.66