Finding the Third Proportional to 419,048 and 648,726

Step by Step Solution

1. Step 1: Write the proportion equation
   419,048 : 648,726 = 648,726 : x
2. Step 2: Convert to fraction form
   419,048/648,726 = 648,726/x
3. Step 3: Cross multiply
   419,048x = 648,726 × 648,726
4. Step 4: Simplify right side
   419,048x = 420,845,423,076
5. Step 5: Solve for x
   x = 420,845,423,076/419,048
6. Step 6: Final answer
   x = 1,004,289.30