Finding the Third Proportional to 82,724 and 181,096

Step by Step Solution

1. Step 1: Write the proportion equation
   82,724 : 181,096 = 181,096 : x
2. Step 2: Convert to fraction form
   82,724/181,096 = 181,096/x
3. Step 3: Cross multiply
   82,724x = 181,096 × 181,096
4. Step 4: Simplify right side
   82,724x = 32,795,761,216
5. Step 5: Solve for x
   x = 32,795,761,216/82,724
6. Step 6: Final answer
   x = 396,447.96