Finding the Third Proportional to 309,261 and 659,022

Step by Step Solution

1. Step 1: Write the proportion equation
   309,261 : 659,022 = 659,022 : x
2. Step 2: Convert to fraction form
   309,261/659,022 = 659,022/x
3. Step 3: Cross multiply
   309,261x = 659,022 × 659,022
4. Step 4: Simplify right side
   309,261x = 434,309,996,484
5. Step 5: Solve for x
   x = 434,309,996,484/309,261
6. Step 6: Final answer
   x = 1,404,347.77