Finding the Third Proportional to 506,745 and 712,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,745 : 712,732.50 = 712,732.50 : x
2. Step 2: Convert to fraction form
   506,745/712,732.50 = 712,732.50/x
3. Step 3: Cross multiply
   506,745x = 712,732.50 × 712,732.50
4. Step 4: Simplify right side
   506,745x = 507,987,616,556.25
5. Step 5: Solve for x
   x = 507,987,616,556.25/506,745
6. Step 6: Final answer
   x = 1,002,452.15