Finding the Third Proportional to 51,846 and 108,156

Step by Step Solution

1. Step 1: Write the proportion equation
   51,846 : 108,156 = 108,156 : x
2. Step 2: Convert to fraction form
   51,846/108,156 = 108,156/x
3. Step 3: Cross multiply
   51,846x = 108,156 × 108,156
4. Step 4: Simplify right side
   51,846x = 11,697,720,336
5. Step 5: Solve for x
   x = 11,697,720,336/51,846
6. Step 6: Final answer
   x = 225,624.36