Finding the Third Proportional to 512,271 and 823,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512,271 : 823,081.50 = 823,081.50 : x
2. Step 2: Convert to fraction form
   512,271/823,081.50 = 823,081.50/x
3. Step 3: Cross multiply
   512,271x = 823,081.50 × 823,081.50
4. Step 4: Simplify right side
   512,271x = 677,463,155,642.25
5. Step 5: Solve for x
   x = 677,463,155,642.25/512,271
6. Step 6: Final answer
   x = 1,322,470.25