Finding the Third Proportional to 511,731 and 809,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   511,731 : 809,716.50 = 809,716.50 : x
2. Step 2: Convert to fraction form
   511,731/809,716.50 = 809,716.50/x
3. Step 3: Cross multiply
   511,731x = 809,716.50 × 809,716.50
4. Step 4: Simplify right side
   511,731x = 655,640,810,372.25
5. Step 5: Solve for x
   x = 655,640,810,372.25/511,731
6. Step 6: Final answer
   x = 1,281,221.60