Finding the Third Proportional to 68,283 and 142,016

Step by Step Solution

1. Step 1: Write the proportion equation
   68,283 : 142,016 = 142,016 : x
2. Step 2: Convert to fraction form
   68,283/142,016 = 142,016/x
3. Step 3: Cross multiply
   68,283x = 142,016 × 142,016
4. Step 4: Simplify right side
   68,283x = 20,168,544,256
5. Step 5: Solve for x
   x = 20,168,544,256/68,283
6. Step 6: Final answer
   x = 295,366.99