Finding the Third Proportional to 65,642 and 144,002

Step by Step Solution

1. Step 1: Write the proportion equation
   65,642 : 144,002 = 144,002 : x
2. Step 2: Convert to fraction form
   65,642/144,002 = 144,002/x
3. Step 3: Cross multiply
   65,642x = 144,002 × 144,002
4. Step 4: Simplify right side
   65,642x = 20,736,576,004
5. Step 5: Solve for x
   x = 20,736,576,004/65,642
6. Step 6: Final answer
   x = 315,904.09