Finding the Third Proportional to 402,276 and 554,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,276 : 554,137.50 = 554,137.50 : x
2. Step 2: Convert to fraction form
   402,276/554,137.50 = 554,137.50/x
3. Step 3: Cross multiply
   402,276x = 554,137.50 × 554,137.50
4. Step 4: Simplify right side
   402,276x = 307,068,368,906.25
5. Step 5: Solve for x
   x = 307,068,368,906.25/402,276
6. Step 6: Final answer
   x = 763,327.59