Finding the Third Proportional to 111,714 and 239,419

Step by Step Solution

1. Step 1: Write the proportion equation
   111,714 : 239,419 = 239,419 : x
2. Step 2: Convert to fraction form
   111,714/239,419 = 239,419/x
3. Step 3: Cross multiply
   111,714x = 239,419 × 239,419
4. Step 4: Simplify right side
   111,714x = 57,321,457,561
5. Step 5: Solve for x
   x = 57,321,457,561/111,714
6. Step 6: Final answer
   x = 513,108.99