Finding the Third Proportional to 271,747 and 585,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,747 : 585,046.50 = 585,046.50 : x
2. Step 2: Convert to fraction form
   271,747/585,046.50 = 585,046.50/x
3. Step 3: Cross multiply
   271,747x = 585,046.50 × 585,046.50
4. Step 4: Simplify right side
   271,747x = 342,279,407,162.25
5. Step 5: Solve for x
   x = 342,279,407,162.25/271,747
6. Step 6: Final answer
   x = 1,259,551.74