Finding the Third Proportional to 111.75 and 167.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 167.75 = 167.75 : x
2. Step 2: Convert to fraction form
   111.75/167.75 = 167.75/x
3. Step 3: Cross multiply
   111.75x = 167.75 × 167.75
4. Step 4: Simplify right side
   111.75x = 28,140.06
5. Step 5: Solve for x
   x = 28,140.06/111.75
6. Step 6: Final answer
   x = 251.81