Finding the Third Proportional to 111,648 and 159,170

Step by Step Solution

1. Step 1: Write the proportion equation
   111,648 : 159,170 = 159,170 : x
2. Step 2: Convert to fraction form
   111,648/159,170 = 159,170/x
3. Step 3: Cross multiply
   111,648x = 159,170 × 159,170
4. Step 4: Simplify right side
   111,648x = 25,335,088,900
5. Step 5: Solve for x
   x = 25,335,088,900/111,648
6. Step 6: Final answer
   x = 226,919.33