Finding the Third Proportional to 309,106 and 659,042

Step by Step Solution

1. Step 1: Write the proportion equation
   309,106 : 659,042 = 659,042 : x
2. Step 2: Convert to fraction form
   309,106/659,042 = 659,042/x
3. Step 3: Cross multiply
   309,106x = 659,042 × 659,042
4. Step 4: Simplify right side
   309,106x = 434,336,357,764
5. Step 5: Solve for x
   x = 434,336,357,764/309,106
6. Step 6: Final answer
   x = 1,405,137.26