Finding the Third Proportional to 111.38 and 173.39

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 173.39 = 173.39 : x
2. Step 2: Convert to fraction form
   111.38/173.39 = 173.39/x
3. Step 3: Cross multiply
   111.38x = 173.39 × 173.39
4. Step 4: Simplify right side
   111.38x = 30,064.31
5. Step 5: Solve for x
   x = 30,064.31/111.38
6. Step 6: Final answer
   x = 269.94