Finding the Third Proportional to 419,025.50 and 648,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,025.50 : 648,695.50 = 648,695.50 : x
2. Step 2: Convert to fraction form
   419,025.50/648,695.50 = 648,695.50/x
3. Step 3: Cross multiply
   419,025.50x = 648,695.50 × 648,695.50
4. Step 4: Simplify right side
   419,025.50x = 420,805,851,720.25
5. Step 5: Solve for x
   x = 420,805,851,720.25/419,025.50
6. Step 6: Final answer
   x = 1,004,248.79