Finding the Third Proportional to 419,042.50 and 648,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,042.50 : 648,719.50 = 648,719.50 : x
2. Step 2: Convert to fraction form
   419,042.50/648,719.50 = 648,719.50/x
3. Step 3: Cross multiply
   419,042.50x = 648,719.50 × 648,719.50
4. Step 4: Simplify right side
   419,042.50x = 420,836,989,680.25
5. Step 5: Solve for x
   x = 420,836,989,680.25/419,042.50
6. Step 6: Final answer
   x = 1,004,282.36