Finding the Third Proportional to 111.75 and 167.53

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 167.53 = 167.53 : x
2. Step 2: Convert to fraction form
   111.75/167.53 = 167.53/x
3. Step 3: Cross multiply
   111.75x = 167.53 × 167.53
4. Step 4: Simplify right side
   111.75x = 28,066.72
5. Step 5: Solve for x
   x = 28,066.72/111.75
6. Step 6: Final answer
   x = 251.16