Finding the Third Proportional to 150,440 and 321,616

Step by Step Solution

1. Step 1: Write the proportion equation
   150,440 : 321,616 = 321,616 : x
2. Step 2: Convert to fraction form
   150,440/321,616 = 321,616/x
3. Step 3: Cross multiply
   150,440x = 321,616 × 321,616
4. Step 4: Simplify right side
   150,440x = 103,436,851,456
5. Step 5: Solve for x
   x = 103,436,851,456/150,440
6. Step 6: Final answer
   x = 687,562.16