Finding the Third Proportional to 301,839 and 408,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,839 : 408,469.50 = 408,469.50 : x
2. Step 2: Convert to fraction form
   301,839/408,469.50 = 408,469.50/x
3. Step 3: Cross multiply
   301,839x = 408,469.50 × 408,469.50
4. Step 4: Simplify right side
   301,839x = 166,847,332,430.25
5. Step 5: Solve for x
   x = 166,847,332,430.25/301,839
6. Step 6: Final answer
   x = 552,769.30