Finding the Third Proportional to 269,928 and 419,040

Step by Step Solution

1. Step 1: Write the proportion equation
   269,928 : 419,040 = 419,040 : x
2. Step 2: Convert to fraction form
   269,928/419,040 = 419,040/x
3. Step 3: Cross multiply
   269,928x = 419,040 × 419,040
4. Step 4: Simplify right side
   269,928x = 175,594,521,600
5. Step 5: Solve for x
   x = 175,594,521,600/269,928
6. Step 6: Final answer
   x = 650,523.55