Finding the Third Proportional to 465,434.50 and 711,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   465,434.50 : 711,687.50 = 711,687.50 : x
2. Step 2: Convert to fraction form
   465,434.50/711,687.50 = 711,687.50/x
3. Step 3: Cross multiply
   465,434.50x = 711,687.50 × 711,687.50
4. Step 4: Simplify right side
   465,434.50x = 506,499,097,656.25
5. Step 5: Solve for x
   x = 506,499,097,656.25/465,434.50
6. Step 6: Final answer
   x = 1,088,228.52