Finding the Third Proportional to 300,340 and 659,744

Step by Step Solution

1. Step 1: Write the proportion equation
   300,340 : 659,744 = 659,744 : x
2. Step 2: Convert to fraction form
   300,340/659,744 = 659,744/x
3. Step 3: Cross multiply
   300,340x = 659,744 × 659,744
4. Step 4: Simplify right side
   300,340x = 435,262,145,536
5. Step 5: Solve for x
   x = 435,262,145,536/300,340
6. Step 6: Final answer
   x = 1,449,231.36