Finding the Third Proportional to 402,268 and 554,125.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,268 : 554,125.50 = 554,125.50 : x
2. Step 2: Convert to fraction form
   402,268/554,125.50 = 554,125.50/x
3. Step 3: Cross multiply
   402,268x = 554,125.50 × 554,125.50
4. Step 4: Simplify right side
   402,268x = 307,055,069,750.25
5. Step 5: Solve for x
   x = 307,055,069,750.25/402,268
6. Step 6: Final answer
   x = 763,309.71