Finding the Third Proportional to 414,476 and 659,078

Step by Step Solution

1. Step 1: Write the proportion equation
   414,476 : 659,078 = 659,078 : x
2. Step 2: Convert to fraction form
   414,476/659,078 = 659,078/x
3. Step 3: Cross multiply
   414,476x = 659,078 × 659,078
4. Step 4: Simplify right side
   414,476x = 434,383,810,084
5. Step 5: Solve for x
   x = 434,383,810,084/414,476
6. Step 6: Final answer
   x = 1,048,031.27