Finding the Third Proportional to 111,936 and 169,544

Step by Step Solution

1. Step 1: Write the proportion equation
   111,936 : 169,544 = 169,544 : x
2. Step 2: Convert to fraction form
   111,936/169,544 = 169,544/x
3. Step 3: Cross multiply
   111,936x = 169,544 × 169,544
4. Step 4: Simplify right side
   111,936x = 28,745,167,936
5. Step 5: Solve for x
   x = 28,745,167,936/111,936
6. Step 6: Final answer
   x = 256,800.03