Finding the Third Proportional to 402,277 and 554,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,277 : 554,139.50 = 554,139.50 : x
2. Step 2: Convert to fraction form
   402,277/554,139.50 = 554,139.50/x
3. Step 3: Cross multiply
   402,277x = 554,139.50 × 554,139.50
4. Step 4: Simplify right side
   402,277x = 307,070,585,460.25
5. Step 5: Solve for x
   x = 307,070,585,460.25/402,277
6. Step 6: Final answer
   x = 763,331.20