Finding the Third Proportional to 68.71 and 139.27

Step by Step Solution

1. Step 1: Write the proportion equation
   68.71 : 139.27 = 139.27 : x
2. Step 2: Convert to fraction form
   68.71/139.27 = 139.27/x
3. Step 3: Cross multiply
   68.71x = 139.27 × 139.27
4. Step 4: Simplify right side
   68.71x = 19,396.55
5. Step 5: Solve for x
   x = 19,396.55/68.71
6. Step 6: Final answer
   x = 282.28