Finding the Third Proportional to 83,300 and 181,816

Step by Step Solution

1. Step 1: Write the proportion equation
   83,300 : 181,816 = 181,816 : x
2. Step 2: Convert to fraction form
   83,300/181,816 = 181,816/x
3. Step 3: Cross multiply
   83,300x = 181,816 × 181,816
4. Step 4: Simplify right side
   83,300x = 33,057,057,856
5. Step 5: Solve for x
   x = 33,057,057,856/83,300
6. Step 6: Final answer
   x = 396,843.43