Finding the Third Proportional to 83,162 and 181,372

Step by Step Solution

1. Step 1: Write the proportion equation
   83,162 : 181,372 = 181,372 : x
2. Step 2: Convert to fraction form
   83,162/181,372 = 181,372/x
3. Step 3: Cross multiply
   83,162x = 181,372 × 181,372
4. Step 4: Simplify right side
   83,162x = 32,895,802,384
5. Step 5: Solve for x
   x = 32,895,802,384/83,162
6. Step 6: Final answer
   x = 395,562.91