Finding the Third Proportional to 415,728 and 647,928

Step by Step Solution

1. Step 1: Write the proportion equation
   415,728 : 647,928 = 647,928 : x
2. Step 2: Convert to fraction form
   415,728/647,928 = 647,928/x
3. Step 3: Cross multiply
   415,728x = 647,928 × 647,928
4. Step 4: Simplify right side
   415,728x = 419,810,693,184
5. Step 5: Solve for x
   x = 419,810,693,184/415,728
6. Step 6: Final answer
   x = 1,009,820.59