Finding the Third Proportional to 111.38 and 140.06

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 140.06 = 140.06 : x
2. Step 2: Convert to fraction form
   111.38/140.06 = 140.06/x
3. Step 3: Cross multiply
   111.38x = 140.06 × 140.06
4. Step 4: Simplify right side
   111.38x = 19,617.50
5. Step 5: Solve for x
   x = 19,617.50/111.38
6. Step 6: Final answer
   x = 176.14