Finding the Third Proportional to 262,831.50 and 584,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,831.50 : 584,806.50 = 584,806.50 : x
2. Step 2: Convert to fraction form
   262,831.50/584,806.50 = 584,806.50/x
3. Step 3: Cross multiply
   262,831.50x = 584,806.50 × 584,806.50
4. Step 4: Simplify right side
   262,831.50x = 341,998,642,442.25
5. Step 5: Solve for x
   x = 341,998,642,442.25/262,831.50
6. Step 6: Final answer
   x = 1,301,208.73