Finding the Third Proportional to 108.19 and 158.72

Step by Step Solution

1. Step 1: Write the proportion equation
   108.19 : 158.72 = 158.72 : x
2. Step 2: Convert to fraction form
   108.19/158.72 = 158.72/x
3. Step 3: Cross multiply
   108.19x = 158.72 × 158.72
4. Step 4: Simplify right side
   108.19x = 25,191.64
5. Step 5: Solve for x
   x = 25,191.64/108.19
6. Step 6: Final answer
   x = 232.85