Finding the Third Proportional to 271,512 and 585,144

Step by Step Solution

1. Step 1: Write the proportion equation
   271,512 : 585,144 = 585,144 : x
2. Step 2: Convert to fraction form
   271,512/585,144 = 585,144/x
3. Step 3: Cross multiply
   271,512x = 585,144 × 585,144
4. Step 4: Simplify right side
   271,512x = 342,393,500,736
5. Step 5: Solve for x
   x = 342,393,500,736/271,512
6. Step 6: Final answer
   x = 1,261,062.13