Finding the Third Proportional to 309,269 and 659,038

Step by Step Solution

1. Step 1: Write the proportion equation
   309,269 : 659,038 = 659,038 : x
2. Step 2: Convert to fraction form
   309,269/659,038 = 659,038/x
3. Step 3: Cross multiply
   309,269x = 659,038 × 659,038
4. Step 4: Simplify right side
   309,269x = 434,331,085,444
5. Step 5: Solve for x
   x = 434,331,085,444/309,269
6. Step 6: Final answer
   x = 1,404,379.64