Finding the Third Proportional to 111.38 and 161.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 161.25 = 161.25 : x
2. Step 2: Convert to fraction form
   111.38/161.25 = 161.25/x
3. Step 3: Cross multiply
   111.38x = 161.25 × 161.25
4. Step 4: Simplify right side
   111.38x = 26,001.56
5. Step 5: Solve for x
   x = 26,001.56/111.38
6. Step 6: Final answer
   x = 233.46