Finding the Third Proportional to 144,616 and 322,434

Step by Step Solution

1. Step 1: Write the proportion equation
   144,616 : 322,434 = 322,434 : x
2. Step 2: Convert to fraction form
   144,616/322,434 = 322,434/x
3. Step 3: Cross multiply
   144,616x = 322,434 × 322,434
4. Step 4: Simplify right side
   144,616x = 103,963,684,356
5. Step 5: Solve for x
   x = 103,963,684,356/144,616
6. Step 6: Final answer
   x = 718,894.76