Finding the Third Proportional to 309,102 and 659,034

Step by Step Solution

1. Step 1: Write the proportion equation
   309,102 : 659,034 = 659,034 : x
2. Step 2: Convert to fraction form
   309,102/659,034 = 659,034/x
3. Step 3: Cross multiply
   309,102x = 659,034 × 659,034
4. Step 4: Simplify right side
   309,102x = 434,325,813,156
5. Step 5: Solve for x
   x = 434,325,813,156/309,102
6. Step 6: Final answer
   x = 1,405,121.33