Finding the Third Proportional to 111.88 and 167.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111.88 : 167.38 = 167.38 : x
2. Step 2: Convert to fraction form
   111.88/167.38 = 167.38/x
3. Step 3: Cross multiply
   111.88x = 167.38 × 167.38
4. Step 4: Simplify right side
   111.88x = 28,014.39
5. Step 5: Solve for x
   x = 28,014.39/111.88
6. Step 6: Final answer
   x = 250.41