Finding the Third Proportional to 268,600 and 585,144

Step by Step Solution

1. Step 1: Write the proportion equation
   268,600 : 585,144 = 585,144 : x
2. Step 2: Convert to fraction form
   268,600/585,144 = 585,144/x
3. Step 3: Cross multiply
   268,600x = 585,144 × 585,144
4. Step 4: Simplify right side
   268,600x = 342,393,500,736
5. Step 5: Solve for x
   x = 342,393,500,736/268,600
6. Step 6: Final answer
   x = 1,274,733.81