Finding the Third Proportional to 111.50 and 161.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111.50 : 161.38 = 161.38 : x
2. Step 2: Convert to fraction form
   111.50/161.38 = 161.38/x
3. Step 3: Cross multiply
   111.50x = 161.38 × 161.38
4. Step 4: Simplify right side
   111.50x = 26,041.89
5. Step 5: Solve for x
   x = 26,041.89/111.50
6. Step 6: Final answer
   x = 233.56