Finding the Third Proportional to 83,299 and 181,388

Step by Step Solution

1. Step 1: Write the proportion equation
   83,299 : 181,388 = 181,388 : x
2. Step 2: Convert to fraction form
   83,299/181,388 = 181,388/x
3. Step 3: Cross multiply
   83,299x = 181,388 × 181,388
4. Step 4: Simplify right side
   83,299x = 32,901,606,544
5. Step 5: Solve for x
   x = 32,901,606,544/83,299
6. Step 6: Final answer
   x = 394,982.01