Finding the Third Proportional to 414,684 and 659,387.25

Step by Step Solution

1. Step 1: Write the proportion equation
   414,684 : 659,387.25 = 659,387.25 : x
2. Step 2: Convert to fraction form
   414,684/659,387.25 = 659,387.25/x
3. Step 3: Cross multiply
   414,684x = 659,387.25 × 659,387.25
4. Step 4: Simplify right side
   414,684x = 434,791,545,462.56
5. Step 5: Solve for x
   x = 434,791,545,462.56/414,684
6. Step 6: Final answer
   x = 1,048,488.84