Finding the Third Proportional to 82.31 and 181.20

Step by Step Solution

1. Step 1: Write the proportion equation
   82.31 : 181.20 = 181.20 : x
2. Step 2: Convert to fraction form
   82.31/181.20 = 181.20/x
3. Step 3: Cross multiply
   82.31x = 181.20 × 181.20
4. Step 4: Simplify right side
   82.31x = 32,831.74
5. Step 5: Solve for x
   x = 32,831.74/82.31
6. Step 6: Final answer
   x = 398.87