Finding the Third Proportional to 83,019.94 and 181,622.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,019.94 : 181,622.25 = 181,622.25 : x
2. Step 2: Convert to fraction form
   83,019.94/181,622.25 = 181,622.25/x
3. Step 3: Cross multiply
   83,019.94x = 181,622.25 × 181,622.25
4. Step 4: Simplify right side
   83,019.94x = 32,986,641,695.06
5. Step 5: Solve for x
   x = 32,986,641,695.06/83,019.94
6. Step 6: Final answer
   x = 397,333.97