Finding the Third Proportional to 111,714 and 156,268

Step by Step Solution

1. Step 1: Write the proportion equation
   111,714 : 156,268 = 156,268 : x
2. Step 2: Convert to fraction form
   111,714/156,268 = 156,268/x
3. Step 3: Cross multiply
   111,714x = 156,268 × 156,268
4. Step 4: Simplify right side
   111,714x = 24,419,687,824
5. Step 5: Solve for x
   x = 24,419,687,824/111,714
6. Step 6: Final answer
   x = 218,591.12