Finding the Third Proportional to 83,085.25 and 181,208.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,085.25 : 181,208.25 = 181,208.25 : x
2. Step 2: Convert to fraction form
   83,085.25/181,208.25 = 181,208.25/x
3. Step 3: Cross multiply
   83,085.25x = 181,208.25 × 181,208.25
4. Step 4: Simplify right side
   83,085.25x = 32,836,429,868.06
5. Step 5: Solve for x
   x = 32,836,429,868.06/83,085.25
6. Step 6: Final answer
   x = 395,213.71