Finding the Third Proportional to 309,111 and 659,049

Step by Step Solution

1. Step 1: Write the proportion equation
   309,111 : 659,049 = 659,049 : x
2. Step 2: Convert to fraction form
   309,111/659,049 = 659,049/x
3. Step 3: Cross multiply
   309,111x = 659,049 × 659,049
4. Step 4: Simplify right side
   309,111x = 434,345,584,401
5. Step 5: Solve for x
   x = 434,345,584,401/309,111
6. Step 6: Final answer
   x = 1,405,144.38