Finding the Third Proportional to 65,568 and 140,694

Step by Step Solution

1. Step 1: Write the proportion equation
   65,568 : 140,694 = 140,694 : x
2. Step 2: Convert to fraction form
   65,568/140,694 = 140,694/x
3. Step 3: Cross multiply
   65,568x = 140,694 × 140,694
4. Step 4: Simplify right side
   65,568x = 19,794,801,636
5. Step 5: Solve for x
   x = 19,794,801,636/65,568
6. Step 6: Final answer
   x = 301,897.29