Finding the Third Proportional to 386,520.75 and 578,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,520.75 : 578,002.50 = 578,002.50 : x
2. Step 2: Convert to fraction form
   386,520.75/578,002.50 = 578,002.50/x
3. Step 3: Cross multiply
   386,520.75x = 578,002.50 × 578,002.50
4. Step 4: Simplify right side
   386,520.75x = 334,086,890,006.25
5. Step 5: Solve for x
   x = 334,086,890,006.25/386,520.75
6. Step 6: Final answer
   x = 864,344.00