Finding the Third Proportional to 300,364 and 419,928

Step by Step Solution

1. Step 1: Write the proportion equation
   300,364 : 419,928 = 419,928 : x
2. Step 2: Convert to fraction form
   300,364/419,928 = 419,928/x
3. Step 3: Cross multiply
   300,364x = 419,928 × 419,928
4. Step 4: Simplify right side
   300,364x = 176,339,525,184
5. Step 5: Solve for x
   x = 176,339,525,184/300,364
6. Step 6: Final answer
   x = 587,086.09