Finding the Third Proportional to 300,380 and 419,951

Step by Step Solution

1. Step 1: Write the proportion equation
   300,380 : 419,951 = 419,951 : x
2. Step 2: Convert to fraction form
   300,380/419,951 = 419,951/x
3. Step 3: Cross multiply
   300,380x = 419,951 × 419,951
4. Step 4: Simplify right side
   300,380x = 176,358,842,401
5. Step 5: Solve for x
   x = 176,358,842,401/300,380
6. Step 6: Final answer
   x = 587,119.12