Finding the Third Proportional to 67,686 and 139,668

Step by Step Solution

1. Step 1: Write the proportion equation
   67,686 : 139,668 = 139,668 : x
2. Step 2: Convert to fraction form
   67,686/139,668 = 139,668/x
3. Step 3: Cross multiply
   67,686x = 139,668 × 139,668
4. Step 4: Simplify right side
   67,686x = 19,507,150,224
5. Step 5: Solve for x
   x = 19,507,150,224/67,686
6. Step 6: Final answer
   x = 288,200.67