Finding the Third Proportional to 268,956 and 585,222

Step by Step Solution

1. Step 1: Write the proportion equation
   268,956 : 585,222 = 585,222 : x
2. Step 2: Convert to fraction form
   268,956/585,222 = 585,222/x
3. Step 3: Cross multiply
   268,956x = 585,222 × 585,222
4. Step 4: Simplify right side
   268,956x = 342,484,789,284
5. Step 5: Solve for x
   x = 342,484,789,284/268,956
6. Step 6: Final answer
   x = 1,273,385.94