Finding the Third Proportional to 83,085.75 and 181,208.81

Step by Step Solution

1. Step 1: Write the proportion equation
   83,085.75 : 181,208.81 = 181,208.81 : x
2. Step 2: Convert to fraction form
   83,085.75/181,208.81 = 181,208.81/x
3. Step 3: Cross multiply
   83,085.75x = 181,208.81 × 181,208.81
4. Step 4: Simplify right side
   83,085.75x = 32,836,633,727.66
5. Step 5: Solve for x
   x = 32,836,633,727.66/83,085.75
6. Step 6: Final answer
   x = 395,213.78