Finding the Third Proportional to 300,384 and 419,952

Step by Step Solution

1. Step 1: Write the proportion equation
   300,384 : 419,952 = 419,952 : x
2. Step 2: Convert to fraction form
   300,384/419,952 = 419,952/x
3. Step 3: Cross multiply
   300,384x = 419,952 × 419,952
4. Step 4: Simplify right side
   300,384x = 176,359,682,304
5. Step 5: Solve for x
   x = 176,359,682,304/300,384
6. Step 6: Final answer
   x = 587,114.10