Finding the Third Proportional to 65,589 and 140,734

Step by Step Solution

1. Step 1: Write the proportion equation
   65,589 : 140,734 = 140,734 : x
2. Step 2: Convert to fraction form
   65,589/140,734 = 140,734/x
3. Step 3: Cross multiply
   65,589x = 140,734 × 140,734
4. Step 4: Simplify right side
   65,589x = 19,806,058,756
5. Step 5: Solve for x
   x = 19,806,058,756/65,589
6. Step 6: Final answer
   x = 301,972.26