Finding the Third Proportional to 82.75 and 180.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82.75 : 180.88 = 180.88 : x
2. Step 2: Convert to fraction form
   82.75/180.88 = 180.88/x
3. Step 3: Cross multiply
   82.75x = 180.88 × 180.88
4. Step 4: Simplify right side
   82.75x = 32,715.77
5. Step 5: Solve for x
   x = 32,715.77/82.75
6. Step 6: Final answer
   x = 395.36