Finding the Third Proportional to 321,714 and 696,384

Step by Step Solution

1. Step 1: Write the proportion equation
   321,714 : 696,384 = 696,384 : x
2. Step 2: Convert to fraction form
   321,714/696,384 = 696,384/x
3. Step 3: Cross multiply
   321,714x = 696,384 × 696,384
4. Step 4: Simplify right side
   321,714x = 484,950,675,456
5. Step 5: Solve for x
   x = 484,950,675,456/321,714
6. Step 6: Final answer
   x = 1,507,396.87