Finding the Third Proportional to 65,760 and 145,568

Step by Step Solution

1. Step 1: Write the proportion equation
   65,760 : 145,568 = 145,568 : x
2. Step 2: Convert to fraction form
   65,760/145,568 = 145,568/x
3. Step 3: Cross multiply
   65,760x = 145,568 × 145,568
4. Step 4: Simplify right side
   65,760x = 21,190,042,624
5. Step 5: Solve for x
   x = 21,190,042,624/65,760
6. Step 6: Final answer
   x = 322,233.01