Finding the Third Proportional to 72,714 and 111,187

Step by Step Solution

1. Step 1: Write the proportion equation
   72,714 : 111,187 = 111,187 : x
2. Step 2: Convert to fraction form
   72,714/111,187 = 111,187/x
3. Step 3: Cross multiply
   72,714x = 111,187 × 111,187
4. Step 4: Simplify right side
   72,714x = 12,362,548,969
5. Step 5: Solve for x
   x = 12,362,548,969/72,714
6. Step 6: Final answer
   x = 170,016.08