Finding the Third Proportional to 110.81 and 172.31

Step by Step Solution

1. Step 1: Write the proportion equation
   110.81 : 172.31 = 172.31 : x
2. Step 2: Convert to fraction form
   110.81/172.31 = 172.31/x
3. Step 3: Cross multiply
   110.81x = 172.31 × 172.31
4. Step 4: Simplify right side
   110.81x = 29,691.60
5. Step 5: Solve for x
   x = 29,691.60/110.81
6. Step 6: Final answer
   x = 267.94