Finding the Third Proportional to 51,105 and 109,977

Step by Step Solution

1. Step 1: Write the proportion equation
   51,105 : 109,977 = 109,977 : x
2. Step 2: Convert to fraction form
   51,105/109,977 = 109,977/x
3. Step 3: Cross multiply
   51,105x = 109,977 × 109,977
4. Step 4: Simplify right side
   51,105x = 12,094,940,529
5. Step 5: Solve for x
   x = 12,094,940,529/51,105
6. Step 6: Final answer
   x = 236,668.44