Finding the Third Proportional to 111,896 and 168,924

Step by Step Solution

1. Step 1: Write the proportion equation
   111,896 : 168,924 = 168,924 : x
2. Step 2: Convert to fraction form
   111,896/168,924 = 168,924/x
3. Step 3: Cross multiply
   111,896x = 168,924 × 168,924
4. Step 4: Simplify right side
   111,896x = 28,535,317,776
5. Step 5: Solve for x
   x = 28,535,317,776/111,896
6. Step 6: Final answer
   x = 255,016.42