Finding the Third Proportional to 144,766.50 and 322,743

Step by Step Solution

1. Step 1: Write the proportion equation
   144,766.50 : 322,743 = 322,743 : x
2. Step 2: Convert to fraction form
   144,766.50/322,743 = 322,743/x
3. Step 3: Cross multiply
   144,766.50x = 322,743 × 322,743
4. Step 4: Simplify right side
   144,766.50x = 104,163,044,049
5. Step 5: Solve for x
   x = 104,163,044,049/144,766.50
6. Step 6: Final answer
   x = 719,524.50