Finding the Third Proportional to 111.38 and 146.81

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 146.81 = 146.81 : x
2. Step 2: Convert to fraction form
   111.38/146.81 = 146.81/x
3. Step 3: Cross multiply
   111.38x = 146.81 × 146.81
4. Step 4: Simplify right side
   111.38x = 21,553.91
5. Step 5: Solve for x
   x = 21,553.91/111.38
6. Step 6: Final answer
   x = 193.53