Finding the Third Proportional to 419,040 and 648,714

Step by Step Solution

1. Step 1: Write the proportion equation
   419,040 : 648,714 = 648,714 : x
2. Step 2: Convert to fraction form
   419,040/648,714 = 648,714/x
3. Step 3: Cross multiply
   419,040x = 648,714 × 648,714
4. Step 4: Simplify right side
   419,040x = 420,829,853,796
5. Step 5: Solve for x
   x = 420,829,853,796/419,040
6. Step 6: Final answer
   x = 1,004,271.32