Finding the Third Proportional to 51,814 and 111,796

Step by Step Solution

1. Step 1: Write the proportion equation
   51,814 : 111,796 = 111,796 : x
2. Step 2: Convert to fraction form
   51,814/111,796 = 111,796/x
3. Step 3: Cross multiply
   51,814x = 111,796 × 111,796
4. Step 4: Simplify right side
   51,814x = 12,498,345,616
5. Step 5: Solve for x
   x = 12,498,345,616/51,814
6. Step 6: Final answer
   x = 241,215.61