Finding the Third Proportional to 82.55 and 182.20

Step by Step Solution

1. Step 1: Write the proportion equation
   82.55 : 182.20 = 182.20 : x
2. Step 2: Convert to fraction form
   82.55/182.20 = 182.20/x
3. Step 3: Cross multiply
   82.55x = 182.20 × 182.20
4. Step 4: Simplify right side
   82.55x = 33,197.98
5. Step 5: Solve for x
   x = 33,197.98/82.55
6. Step 6: Final answer
   x = 402.17