Finding the Third Proportional to 82.31 and 180.94

Step by Step Solution

1. Step 1: Write the proportion equation
   82.31 : 180.94 = 180.94 : x
2. Step 2: Convert to fraction form
   82.31/180.94 = 180.94/x
3. Step 3: Cross multiply
   82.31x = 180.94 × 180.94
4. Step 4: Simplify right side
   82.31x = 32,738.38
5. Step 5: Solve for x
   x = 32,738.38/82.31
6. Step 6: Final answer
   x = 397.73