Finding the Third Proportional to 339,768 and 408,044.25

Step by Step Solution

1. Step 1: Write the proportion equation
   339,768 : 408,044.25 = 408,044.25 : x
2. Step 2: Convert to fraction form
   339,768/408,044.25 = 408,044.25/x
3. Step 3: Cross multiply
   339,768x = 408,044.25 × 408,044.25
4. Step 4: Simplify right side
   339,768x = 166,500,109,958.06
5. Step 5: Solve for x
   x = 166,500,109,958.06/339,768
6. Step 6: Final answer
   x = 490,040.59