Finding the Third Proportional to 149,456 and 322,521

Step by Step Solution

1. Step 1: Write the proportion equation
   149,456 : 322,521 = 322,521 : x
2. Step 2: Convert to fraction form
   149,456/322,521 = 322,521/x
3. Step 3: Cross multiply
   149,456x = 322,521 × 322,521
4. Step 4: Simplify right side
   149,456x = 104,019,795,441
5. Step 5: Solve for x
   x = 104,019,795,441/149,456
6. Step 6: Final answer
   x = 695,989.42