Finding the Third Proportional to 83,142 and 181,836

Step by Step Solution

1. Step 1: Write the proportion equation
   83,142 : 181,836 = 181,836 : x
2. Step 2: Convert to fraction form
   83,142/181,836 = 181,836/x
3. Step 3: Cross multiply
   83,142x = 181,836 × 181,836
4. Step 4: Simplify right side
   83,142x = 33,064,330,896
5. Step 5: Solve for x
   x = 33,064,330,896/83,142
6. Step 6: Final answer
   x = 397,685.06