Finding the Third Proportional to 83,288.25 and 181,359

Step by Step Solution

1. Step 1: Write the proportion equation
   83,288.25 : 181,359 = 181,359 : x
2. Step 2: Convert to fraction form
   83,288.25/181,359 = 181,359/x
3. Step 3: Cross multiply
   83,288.25x = 181,359 × 181,359
4. Step 4: Simplify right side
   83,288.25x = 32,891,086,881
5. Step 5: Solve for x
   x = 32,891,086,881/83,288.25
6. Step 6: Final answer
   x = 394,906.69