Finding the Third Proportional to 111,856 and 169,414

Step by Step Solution

1. Step 1: Write the proportion equation
   111,856 : 169,414 = 169,414 : x
2. Step 2: Convert to fraction form
   111,856/169,414 = 169,414/x
3. Step 3: Cross multiply
   111,856x = 169,414 × 169,414
4. Step 4: Simplify right side
   111,856x = 28,701,103,396
5. Step 5: Solve for x
   x = 28,701,103,396/111,856
6. Step 6: Final answer
   x = 256,589.75