Finding the Third Proportional to 506,292 and 712,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,292 : 712,066.50 = 712,066.50 : x
2. Step 2: Convert to fraction form
   506,292/712,066.50 = 712,066.50/x
3. Step 3: Cross multiply
   506,292x = 712,066.50 × 712,066.50
4. Step 4: Simplify right side
   506,292x = 507,038,700,422.25
5. Step 5: Solve for x
   x = 507,038,700,422.25/506,292
6. Step 6: Final answer
   x = 1,001,474.84