Finding the Third Proportional to 410,314.31 and 659,257.69

Step by Step Solution

1. Step 1: Write the proportion equation
   410,314.31 : 659,257.69 = 659,257.69 : x
2. Step 2: Convert to fraction form
   410,314.31/659,257.69 = 659,257.69/x
3. Step 3: Cross multiply
   410,314.31x = 659,257.69 × 659,257.69
4. Step 4: Simplify right side
   410,314.31x = 434,620,698,527.85
5. Step 5: Solve for x
   x = 434,620,698,527.85/410,314.31
6. Step 6: Final answer
   x = 1,059,238.46