Finding the Third Proportional to 82.78 and 182.16

Step by Step Solution

1. Step 1: Write the proportion equation
   82.78 : 182.16 = 182.16 : x
2. Step 2: Convert to fraction form
   82.78/182.16 = 182.16/x
3. Step 3: Cross multiply
   82.78x = 182.16 × 182.16
4. Step 4: Simplify right side
   82.78x = 33,180.90
5. Step 5: Solve for x
   x = 33,180.90/82.78
6. Step 6: Final answer
   x = 400.83