Finding the Third Proportional to 65,439 and 142,002

Step by Step Solution

1. Step 1: Write the proportion equation
   65,439 : 142,002 = 142,002 : x
2. Step 2: Convert to fraction form
   65,439/142,002 = 142,002/x
3. Step 3: Cross multiply
   65,439x = 142,002 × 142,002
4. Step 4: Simplify right side
   65,439x = 20,164,568,004
5. Step 5: Solve for x
   x = 20,164,568,004/65,439
6. Step 6: Final answer
   x = 308,142.97