Finding the Third Proportional to 309,258 and 659,016

Step by Step Solution

1. Step 1: Write the proportion equation
   309,258 : 659,016 = 659,016 : x
2. Step 2: Convert to fraction form
   309,258/659,016 = 659,016/x
3. Step 3: Cross multiply
   309,258x = 659,016 × 659,016
4. Step 4: Simplify right side
   309,258x = 434,302,088,256
5. Step 5: Solve for x
   x = 434,302,088,256/309,258
6. Step 6: Final answer
   x = 1,404,335.82