Finding the Third Proportional to 65,042 and 135,016

Step by Step Solution

1. Step 1: Write the proportion equation
   65,042 : 135,016 = 135,016 : x
2. Step 2: Convert to fraction form
   65,042/135,016 = 135,016/x
3. Step 3: Cross multiply
   65,042x = 135,016 × 135,016
4. Step 4: Simplify right side
   65,042x = 18,229,320,256
5. Step 5: Solve for x
   x = 18,229,320,256/65,042
6. Step 6: Final answer
   x = 280,269.98