Finding the Third Proportional to 383,144 and 821,336

Step by Step Solution

1. Step 1: Write the proportion equation
   383,144 : 821,336 = 821,336 : x
2. Step 2: Convert to fraction form
   383,144/821,336 = 821,336/x
3. Step 3: Cross multiply
   383,144x = 821,336 × 821,336
4. Step 4: Simplify right side
   383,144x = 674,592,824,896
5. Step 5: Solve for x
   x = 674,592,824,896/383,144
6. Step 6: Final answer
   x = 1,760,676.99