Finding the Third Proportional to 408,176.50 and 613,822

Step by Step Solution

1. Step 1: Write the proportion equation
   408,176.50 : 613,822 = 613,822 : x
2. Step 2: Convert to fraction form
   408,176.50/613,822 = 613,822/x
3. Step 3: Cross multiply
   408,176.50x = 613,822 × 613,822
4. Step 4: Simplify right side
   408,176.50x = 376,777,447,684
5. Step 5: Solve for x
   x = 376,777,447,684/408,176.50
6. Step 6: Final answer
   x = 923,074.82