Finding the Third Proportional to 315,728 and 676,384

Step by Step Solution

1. Step 1: Write the proportion equation
   315,728 : 676,384 = 676,384 : x
2. Step 2: Convert to fraction form
   315,728/676,384 = 676,384/x
3. Step 3: Cross multiply
   315,728x = 676,384 × 676,384
4. Step 4: Simplify right side
   315,728x = 457,495,315,456
5. Step 5: Solve for x
   x = 457,495,315,456/315,728
6. Step 6: Final answer
   x = 1,449,017.24