Finding the Third Proportional to 83,108 and 181,795

Step by Step Solution

1. Step 1: Write the proportion equation
   83,108 : 181,795 = 181,795 : x
2. Step 2: Convert to fraction form
   83,108/181,795 = 181,795/x
3. Step 3: Cross multiply
   83,108x = 181,795 × 181,795
4. Step 4: Simplify right side
   83,108x = 33,049,422,025
5. Step 5: Solve for x
   x = 33,049,422,025/83,108
6. Step 6: Final answer
   x = 397,668.36