Finding the Third Proportional to 67,856 and 144,016

Step by Step Solution

1. Step 1: Write the proportion equation
   67,856 : 144,016 = 144,016 : x
2. Step 2: Convert to fraction form
   67,856/144,016 = 144,016/x
3. Step 3: Cross multiply
   67,856x = 144,016 × 144,016
4. Step 4: Simplify right side
   67,856x = 20,740,608,256
5. Step 5: Solve for x
   x = 20,740,608,256/67,856
6. Step 6: Final answer
   x = 305,656.22