Finding the Third Proportional to 71.88 and 119.38

Step by Step Solution

1. Step 1: Write the proportion equation
   71.88 : 119.38 = 119.38 : x
2. Step 2: Convert to fraction form
   71.88/119.38 = 119.38/x
3. Step 3: Cross multiply
   71.88x = 119.38 × 119.38
4. Step 4: Simplify right side
   71.88x = 14,250.39
5. Step 5: Solve for x
   x = 14,250.39/71.88
6. Step 6: Final answer
   x = 198.27