Finding the Third Proportional to 111,832 and 169,204

Step by Step Solution

1. Step 1: Write the proportion equation
   111,832 : 169,204 = 169,204 : x
2. Step 2: Convert to fraction form
   111,832/169,204 = 169,204/x
3. Step 3: Cross multiply
   111,832x = 169,204 × 169,204
4. Step 4: Simplify right side
   111,832x = 28,629,993,616
5. Step 5: Solve for x
   x = 28,629,993,616/111,832
6. Step 6: Final answer
   x = 256,008.96