Finding the Third Proportional to 69,344 and 111,669

Step by Step Solution

1. Step 1: Write the proportion equation
   69,344 : 111,669 = 111,669 : x
2. Step 2: Convert to fraction form
   69,344/111,669 = 111,669/x
3. Step 3: Cross multiply
   69,344x = 111,669 × 111,669
4. Step 4: Simplify right side
   69,344x = 12,469,965,561
5. Step 5: Solve for x
   x = 12,469,965,561/69,344
6. Step 6: Final answer
   x = 179,827.61