Finding the Third Proportional to 105.05 and 158.20

Step by Step Solution

1. Step 1: Write the proportion equation
   105.05 : 158.20 = 158.20 : x
2. Step 2: Convert to fraction form
   105.05/158.20 = 158.20/x
3. Step 3: Cross multiply
   105.05x = 158.20 × 158.20
4. Step 4: Simplify right side
   105.05x = 25,028.23
5. Step 5: Solve for x
   x = 25,028.23/105.05
6. Step 6: Final answer
   x = 238.26