Finding the Third Proportional to 64,857 and 142,016

Step by Step Solution

1. Step 1: Write the proportion equation
   64,857 : 142,016 = 142,016 : x
2. Step 2: Convert to fraction form
   64,857/142,016 = 142,016/x
3. Step 3: Cross multiply
   64,857x = 142,016 × 142,016
4. Step 4: Simplify right side
   64,857x = 20,168,544,256
5. Step 5: Solve for x
   x = 20,168,544,256/64,857
6. Step 6: Final answer
   x = 310,969.43