Finding the Third Proportional to 402,405 and 564,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,405 : 564,007.50 = 564,007.50 : x
2. Step 2: Convert to fraction form
   402,405/564,007.50 = 564,007.50/x
3. Step 3: Cross multiply
   402,405x = 564,007.50 × 564,007.50
4. Step 4: Simplify right side
   402,405x = 318,104,460,056.25
5. Step 5: Solve for x
   x = 318,104,460,056.25/402,405
6. Step 6: Final answer
   x = 790,508.22