Finding the Third Proportional to 83,932 and 181,268

Step by Step Solution

1. Step 1: Write the proportion equation
   83,932 : 181,268 = 181,268 : x
2. Step 2: Convert to fraction form
   83,932/181,268 = 181,268/x
3. Step 3: Cross multiply
   83,932x = 181,268 × 181,268
4. Step 4: Simplify right side
   83,932x = 32,858,087,824
5. Step 5: Solve for x
   x = 32,858,087,824/83,932
6. Step 6: Final answer
   x = 391,484.63