Finding the Third Proportional to 83,039 and 181,666

Step by Step Solution

1. Step 1: Write the proportion equation
   83,039 : 181,666 = 181,666 : x
2. Step 2: Convert to fraction form
   83,039/181,666 = 181,666/x
3. Step 3: Cross multiply
   83,039x = 181,666 × 181,666
4. Step 4: Simplify right side
   83,039x = 33,002,535,556
5. Step 5: Solve for x
   x = 33,002,535,556/83,039
6. Step 6: Final answer
   x = 397,434.16