Finding the Third Proportional to 402,282 and 554,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,282 : 554,146.50 = 554,146.50 : x
2. Step 2: Convert to fraction form
   402,282/554,146.50 = 554,146.50/x
3. Step 3: Cross multiply
   402,282x = 554,146.50 × 554,146.50
4. Step 4: Simplify right side
   402,282x = 307,078,343,462.25
5. Step 5: Solve for x
   x = 307,078,343,462.25/402,282
6. Step 6: Final answer
   x = 763,341.00