Finding the Third Proportional to 476,304 and 648,648

Step by Step Solution

1. Step 1: Write the proportion equation
   476,304 : 648,648 = 648,648 : x
2. Step 2: Convert to fraction form
   476,304/648,648 = 648,648/x
3. Step 3: Cross multiply
   476,304x = 648,648 × 648,648
4. Step 4: Simplify right side
   476,304x = 420,744,227,904
5. Step 5: Solve for x
   x = 420,744,227,904/476,304
6. Step 6: Final answer
   x = 883,352.29