Finding the Third Proportional to 111.66 and 171.28

Step by Step Solution

1. Step 1: Write the proportion equation
   111.66 : 171.28 = 171.28 : x
2. Step 2: Convert to fraction form
   111.66/171.28 = 171.28/x
3. Step 3: Cross multiply
   111.66x = 171.28 × 171.28
4. Step 4: Simplify right side
   111.66x = 29,337.27
5. Step 5: Solve for x
   x = 29,337.27/111.66
6. Step 6: Final answer
   x = 262.75