Finding the Third Proportional to 339,768 and 408,045

Step by Step Solution

1. Step 1: Write the proportion equation
   339,768 : 408,045 = 408,045 : x
2. Step 2: Convert to fraction form
   339,768/408,045 = 408,045/x
3. Step 3: Cross multiply
   339,768x = 408,045 × 408,045
4. Step 4: Simplify right side
   339,768x = 166,500,722,025
5. Step 5: Solve for x
   x = 166,500,722,025/339,768
6. Step 6: Final answer
   x = 490,042.39