Finding the Third Proportional to 229,648 and 335,398

Step by Step Solution

1. Step 1: Write the proportion equation
   229,648 : 335,398 = 335,398 : x
2. Step 2: Convert to fraction form
   229,648/335,398 = 335,398/x
3. Step 3: Cross multiply
   229,648x = 335,398 × 335,398
4. Step 4: Simplify right side
   229,648x = 112,491,818,404
5. Step 5: Solve for x
   x = 112,491,818,404/229,648
6. Step 6: Final answer
   x = 489,844.54