Finding the Third Proportional to 54,224 and 111,796

Step by Step Solution

1. Step 1: Write the proportion equation
   54,224 : 111,796 = 111,796 : x
2. Step 2: Convert to fraction form
   54,224/111,796 = 111,796/x
3. Step 3: Cross multiply
   54,224x = 111,796 × 111,796
4. Step 4: Simplify right side
   54,224x = 12,498,345,616
5. Step 5: Solve for x
   x = 12,498,345,616/54,224
6. Step 6: Final answer
   x = 230,494.72