Finding the Third Proportional to 402,294 and 554,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,294 : 554,164.50 = 554,164.50 : x
2. Step 2: Convert to fraction form
   402,294/554,164.50 = 554,164.50/x
3. Step 3: Cross multiply
   402,294x = 554,164.50 × 554,164.50
4. Step 4: Simplify right side
   402,294x = 307,098,293,060.25
5. Step 5: Solve for x
   x = 307,098,293,060.25/402,294
6. Step 6: Final answer
   x = 763,367.82