Finding the Third Proportional to 71,922 and 111,668

Step by Step Solution

1. Step 1: Write the proportion equation
   71,922 : 111,668 = 111,668 : x
2. Step 2: Convert to fraction form
   71,922/111,668 = 111,668/x
3. Step 3: Cross multiply
   71,922x = 111,668 × 111,668
4. Step 4: Simplify right side
   71,922x = 12,469,742,224
5. Step 5: Solve for x
   x = 12,469,742,224/71,922
6. Step 6: Final answer
   x = 173,378.69