Finding the Third Proportional to 363,078 and 532,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,078 : 532,951.50 = 532,951.50 : x
2. Step 2: Convert to fraction form
   363,078/532,951.50 = 532,951.50/x
3. Step 3: Cross multiply
   363,078x = 532,951.50 × 532,951.50
4. Step 4: Simplify right side
   363,078x = 284,037,301,352.25
5. Step 5: Solve for x
   x = 284,037,301,352.25/363,078
6. Step 6: Final answer
   x = 782,303.81