Finding the Third Proportional to 309,097 and 659,020

Step by Step Solution

1. Step 1: Write the proportion equation
   309,097 : 659,020 = 659,020 : x
2. Step 2: Convert to fraction form
   309,097/659,020 = 659,020/x
3. Step 3: Cross multiply
   309,097x = 659,020 × 659,020
4. Step 4: Simplify right side
   309,097x = 434,307,360,400
5. Step 5: Solve for x
   x = 434,307,360,400/309,097
6. Step 6: Final answer
   x = 1,405,084.36