Finding the Third Proportional to 51,147 and 105,846

Step by Step Solution

1. Step 1: Write the proportion equation
   51,147 : 105,846 = 105,846 : x
2. Step 2: Convert to fraction form
   51,147/105,846 = 105,846/x
3. Step 3: Cross multiply
   51,147x = 105,846 × 105,846
4. Step 4: Simplify right side
   51,147x = 11,203,375,716
5. Step 5: Solve for x
   x = 11,203,375,716/51,147
6. Step 6: Final answer
   x = 219,042.68