Finding the Third Proportional to 268,541 and 585,016

Step by Step Solution

1. Step 1: Write the proportion equation
   268,541 : 585,016 = 585,016 : x
2. Step 2: Convert to fraction form
   268,541/585,016 = 585,016/x
3. Step 3: Cross multiply
   268,541x = 585,016 × 585,016
4. Step 4: Simplify right side
   268,541x = 342,243,720,256
5. Step 5: Solve for x
   x = 342,243,720,256/268,541
6. Step 6: Final answer
   x = 1,274,456.12