Finding the Third Proportional to 83,096 and 181,231

Step by Step Solution

1. Step 1: Write the proportion equation
   83,096 : 181,231 = 181,231 : x
2. Step 2: Convert to fraction form
   83,096/181,231 = 181,231/x
3. Step 3: Cross multiply
   83,096x = 181,231 × 181,231
4. Step 4: Simplify right side
   83,096x = 32,844,675,361
5. Step 5: Solve for x
   x = 32,844,675,361/83,096
6. Step 6: Final answer
   x = 395,261.81