Finding the Third Proportional to 458,002.69 and 711,747

Step by Step Solution

1. Step 1: Write the proportion equation
   458,002.69 : 711,747 = 711,747 : x
2. Step 2: Convert to fraction form
   458,002.69/711,747 = 711,747/x
3. Step 3: Cross multiply
   458,002.69x = 711,747 × 711,747
4. Step 4: Simplify right side
   458,002.69x = 506,583,792,009
5. Step 5: Solve for x
   x = 506,583,792,009/458,002.69
6. Step 6: Final answer
   x = 1,106,071.66