Finding the Third Proportional to 457,815 and 697,384

Step by Step Solution

1. Step 1: Write the proportion equation
   457,815 : 697,384 = 697,384 : x
2. Step 2: Convert to fraction form
   457,815/697,384 = 697,384/x
3. Step 3: Cross multiply
   457,815x = 697,384 × 697,384
4. Step 4: Simplify right side
   457,815x = 486,344,443,456
5. Step 5: Solve for x
   x = 486,344,443,456/457,815
6. Step 6: Final answer
   x = 1,062,316.53