Finding the Third Proportional to 309,105 and 659,037

Step by Step Solution

1. Step 1: Write the proportion equation
   309,105 : 659,037 = 659,037 : x
2. Step 2: Convert to fraction form
   309,105/659,037 = 659,037/x
3. Step 3: Cross multiply
   309,105x = 659,037 × 659,037
4. Step 4: Simplify right side
   309,105x = 434,329,767,369
5. Step 5: Solve for x
   x = 434,329,767,369/309,105
6. Step 6: Final answer
   x = 1,405,120.48