Finding the Third Proportional to 247,978.50 and 506,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   247,978.50 : 506,464.50 = 506,464.50 : x
2. Step 2: Convert to fraction form
   247,978.50/506,464.50 = 506,464.50/x
3. Step 3: Cross multiply
   247,978.50x = 506,464.50 × 506,464.50
4. Step 4: Simplify right side
   247,978.50x = 256,506,289,760.25
5. Step 5: Solve for x
   x = 256,506,289,760.25/247,978.50
6. Step 6: Final answer
   x = 1,034,389.23