Finding the Third Proportional to 110.66 and 167.72

Step by Step Solution

1. Step 1: Write the proportion equation
   110.66 : 167.72 = 167.72 : x
2. Step 2: Convert to fraction form
   110.66/167.72 = 167.72/x
3. Step 3: Cross multiply
   110.66x = 167.72 × 167.72
4. Step 4: Simplify right side
   110.66x = 28,129.58
5. Step 5: Solve for x
   x = 28,129.58/110.66
6. Step 6: Final answer
   x = 254.21