Finding the Third Proportional to 111.75 and 171.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 171.38 = 171.38 : x
2. Step 2: Convert to fraction form
   111.75/171.38 = 171.38/x
3. Step 3: Cross multiply
   111.75x = 171.38 × 171.38
4. Step 4: Simplify right side
   111.75x = 29,369.39
5. Step 5: Solve for x
   x = 29,369.39/111.75
6. Step 6: Final answer
   x = 262.81