Finding the Third Proportional to 82.27 and 120.23

Step by Step Solution

1. Step 1: Write the proportion equation
   82.27 : 120.23 = 120.23 : x
2. Step 2: Convert to fraction form
   82.27/120.23 = 120.23/x
3. Step 3: Cross multiply
   82.27x = 120.23 × 120.23
4. Step 4: Simplify right side
   82.27x = 14,456.30
5. Step 5: Solve for x
   x = 14,456.30/82.27
6. Step 6: Final answer
   x = 175.73