Finding the Third Proportional to 108,885 and 171,105

Step by Step Solution

1. Step 1: Write the proportion equation
   108,885 : 171,105 = 171,105 : x
2. Step 2: Convert to fraction form
   108,885/171,105 = 171,105/x
3. Step 3: Cross multiply
   108,885x = 171,105 × 171,105
4. Step 4: Simplify right side
   108,885x = 29,276,921,025
5. Step 5: Solve for x
   x = 29,276,921,025/108,885
6. Step 6: Final answer
   x = 268,879.29