Finding the Third Proportional to 82.56 and 182.69

Step by Step Solution

1. Step 1: Write the proportion equation
   82.56 : 182.69 = 182.69 : x
2. Step 2: Convert to fraction form
   82.56/182.69 = 182.69/x
3. Step 3: Cross multiply
   82.56x = 182.69 × 182.69
4. Step 4: Simplify right side
   82.56x = 33,374.72
5. Step 5: Solve for x
   x = 33,374.72/82.56
6. Step 6: Final answer
   x = 404.24