Finding the Third Proportional to 105.38 and 154.13

Step by Step Solution

1. Step 1: Write the proportion equation
   105.38 : 154.13 = 154.13 : x
2. Step 2: Convert to fraction form
   105.38/154.13 = 154.13/x
3. Step 3: Cross multiply
   105.38x = 154.13 × 154.13
4. Step 4: Simplify right side
   105.38x = 23,754.52
5. Step 5: Solve for x
   x = 23,754.52/105.38
6. Step 6: Final answer
   x = 225.43