Finding the Third Proportional to 419,048 and 648,728

Step by Step Solution

1. Step 1: Write the proportion equation
   419,048 : 648,728 = 648,728 : x
2. Step 2: Convert to fraction form
   419,048/648,728 = 648,728/x
3. Step 3: Cross multiply
   419,048x = 648,728 × 648,728
4. Step 4: Simplify right side
   419,048x = 420,848,017,984
5. Step 5: Solve for x
   x = 420,848,017,984/419,048
6. Step 6: Final answer
   x = 1,004,295.49