Finding the Third Proportional to 82,947.38 and 181,418.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,947.38 : 181,418.25 = 181,418.25 : x
2. Step 2: Convert to fraction form
   82,947.38/181,418.25 = 181,418.25/x
3. Step 3: Cross multiply
   82,947.38x = 181,418.25 × 181,418.25
4. Step 4: Simplify right side
   82,947.38x = 32,912,581,433.06
5. Step 5: Solve for x
   x = 32,912,581,433.06/82,947.38
6. Step 6: Final answer
   x = 396,788.70