Finding the Third Proportional to 82.88 and 195.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82.88 : 195.06 = 195.06 : x
2. Step 2: Convert to fraction form
   82.88/195.06 = 195.06/x
3. Step 3: Cross multiply
   82.88x = 195.06 × 195.06
4. Step 4: Simplify right side
   82.88x = 38,049.38
5. Step 5: Solve for x
   x = 38,049.38/82.88
6. Step 6: Final answer
   x = 459.12