Finding the Third Proportional to 65,589 and 144,960

Step by Step Solution

1. Step 1: Write the proportion equation
   65,589 : 144,960 = 144,960 : x
2. Step 2: Convert to fraction form
   65,589/144,960 = 144,960/x
3. Step 3: Cross multiply
   65,589x = 144,960 × 144,960
4. Step 4: Simplify right side
   65,589x = 21,013,401,600
5. Step 5: Solve for x
   x = 21,013,401,600/65,589
6. Step 6: Final answer
   x = 320,379.97