Finding the Third Proportional to 325,974 and 518,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,974 : 518,686.50 = 518,686.50 : x
2. Step 2: Convert to fraction form
   325,974/518,686.50 = 518,686.50/x
3. Step 3: Cross multiply
   325,974x = 518,686.50 × 518,686.50
4. Step 4: Simplify right side
   325,974x = 269,035,685,282.25
5. Step 5: Solve for x
   x = 269,035,685,282.25/325,974
6. Step 6: Final answer
   x = 825,328.66