Finding the Third Proportional to 82.27 and 120.02

Step by Step Solution

1. Step 1: Write the proportion equation
   82.27 : 120.02 = 120.02 : x
2. Step 2: Convert to fraction form
   82.27/120.02 = 120.02/x
3. Step 3: Cross multiply
   82.27x = 120.02 × 120.02
4. Step 4: Simplify right side
   82.27x = 14,405.63
5. Step 5: Solve for x
   x = 14,405.63/82.27
6. Step 6: Final answer
   x = 175.11