Finding the Third Proportional to 144,606 and 322,413

Step by Step Solution

1. Step 1: Write the proportion equation
   144,606 : 322,413 = 322,413 : x
2. Step 2: Convert to fraction form
   144,606/322,413 = 322,413/x
3. Step 3: Cross multiply
   144,606x = 322,413 × 322,413
4. Step 4: Simplify right side
   144,606x = 103,950,142,569
5. Step 5: Solve for x
   x = 103,950,142,569/144,606
6. Step 6: Final answer
   x = 718,850.83