Finding the Third Proportional to 51,858 and 105,906

Step by Step Solution

1. Step 1: Write the proportion equation
   51,858 : 105,906 = 105,906 : x
2. Step 2: Convert to fraction form
   51,858/105,906 = 105,906/x
3. Step 3: Cross multiply
   51,858x = 105,906 × 105,906
4. Step 4: Simplify right side
   51,858x = 11,216,080,836
5. Step 5: Solve for x
   x = 11,216,080,836/51,858
6. Step 6: Final answer
   x = 216,284.49