Finding the Third Proportional to 108,664 and 171,744

Step by Step Solution

1. Step 1: Write the proportion equation
   108,664 : 171,744 = 171,744 : x
2. Step 2: Convert to fraction form
   108,664/171,744 = 171,744/x
3. Step 3: Cross multiply
   108,664x = 171,744 × 171,744
4. Step 4: Simplify right side
   108,664x = 29,496,001,536
5. Step 5: Solve for x
   x = 29,496,001,536/108,664
6. Step 6: Final answer
   x = 271,442.26