Finding the Third Proportional to 465,666 and 712,032

Step by Step Solution

1. Step 1: Write the proportion equation
   465,666 : 712,032 = 712,032 : x
2. Step 2: Convert to fraction form
   465,666/712,032 = 712,032/x
3. Step 3: Cross multiply
   465,666x = 712,032 × 712,032
4. Step 4: Simplify right side
   465,666x = 506,989,569,024
5. Step 5: Solve for x
   x = 506,989,569,024/465,666
6. Step 6: Final answer
   x = 1,088,740.79