Finding the Third Proportional to 111.38 and 161.16

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 161.16 = 161.16 : x
2. Step 2: Convert to fraction form
   111.38/161.16 = 161.16/x
3. Step 3: Cross multiply
   111.38x = 161.16 × 161.16
4. Step 4: Simplify right side
   111.38x = 25,971.34
5. Step 5: Solve for x
   x = 25,971.34/111.38
6. Step 6: Final answer
   x = 233.19