Finding the Third Proportional to 111.50 and 181

Step by Step Solution

1. Step 1: Write the proportion equation
   111.50 : 181 = 181 : x
2. Step 2: Convert to fraction form
   111.50/181 = 181/x
3. Step 3: Cross multiply
   111.50x = 181 × 181
4. Step 4: Simplify right side
   111.50x = 32,761
5. Step 5: Solve for x
   x = 32,761/111.50
6. Step 6: Final answer
   x = 293.82