Finding the Third Proportional to 313,825.50 and 644,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,825.50 : 644,188.50 = 644,188.50 : x
2. Step 2: Convert to fraction form
   313,825.50/644,188.50 = 644,188.50/x
3. Step 3: Cross multiply
   313,825.50x = 644,188.50 × 644,188.50
4. Step 4: Simplify right side
   313,825.50x = 414,978,823,532.25
5. Step 5: Solve for x
   x = 414,978,823,532.25/313,825.50
6. Step 6: Final answer
   x = 1,322,323.47