Finding the Third Proportional to 65,757 and 142,024

Step by Step Solution

1. Step 1: Write the proportion equation
   65,757 : 142,024 = 142,024 : x
2. Step 2: Convert to fraction form
   65,757/142,024 = 142,024/x
3. Step 3: Cross multiply
   65,757x = 142,024 × 142,024
4. Step 4: Simplify right side
   65,757x = 20,170,816,576
5. Step 5: Solve for x
   x = 20,170,816,576/65,757
6. Step 6: Final answer
   x = 306,747.82