Finding the Third Proportional to 83,166 and 181,884

Step by Step Solution

1. Step 1: Write the proportion equation
   83,166 : 181,884 = 181,884 : x
2. Step 2: Convert to fraction form
   83,166/181,884 = 181,884/x
3. Step 3: Cross multiply
   83,166x = 181,884 × 181,884
4. Step 4: Simplify right side
   83,166x = 33,081,789,456
5. Step 5: Solve for x
   x = 33,081,789,456/83,166
6. Step 6: Final answer
   x = 397,780.22