Finding the Third Proportional to 586,539 and 906,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   586,539 : 906,763.50 = 906,763.50 : x
2. Step 2: Convert to fraction form
   586,539/906,763.50 = 906,763.50/x
3. Step 3: Cross multiply
   586,539x = 906,763.50 × 906,763.50
4. Step 4: Simplify right side
   586,539x = 822,220,044,932.25
5. Step 5: Solve for x
   x = 822,220,044,932.25/586,539
6. Step 6: Final answer
   x = 1,401,816.49