Finding the Third Proportional to 383,222 and 806,144

Step by Step Solution

1. Step 1: Write the proportion equation
   383,222 : 806,144 = 806,144 : x
2. Step 2: Convert to fraction form
   383,222/806,144 = 806,144/x
3. Step 3: Cross multiply
   383,222x = 806,144 × 806,144
4. Step 4: Simplify right side
   383,222x = 649,868,148,736
5. Step 5: Solve for x
   x = 649,868,148,736/383,222
6. Step 6: Final answer
   x = 1,695,800.73