Finding the Third Proportional to 117.88 and 158.38

Step by Step Solution

1. Step 1: Write the proportion equation
   117.88 : 158.38 = 158.38 : x
2. Step 2: Convert to fraction form
   117.88/158.38 = 158.38/x
3. Step 3: Cross multiply
   117.88x = 158.38 × 158.38
4. Step 4: Simplify right side
   117.88x = 25,082.64
5. Step 5: Solve for x
   x = 25,082.64/117.88
6. Step 6: Final answer
   x = 212.79