Finding the Third Proportional to 49,065 and 105,906

Step by Step Solution

1. Step 1: Write the proportion equation
   49,065 : 105,906 = 105,906 : x
2. Step 2: Convert to fraction form
   49,065/105,906 = 105,906/x
3. Step 3: Cross multiply
   49,065x = 105,906 × 105,906
4. Step 4: Simplify right side
   49,065x = 11,216,080,836
5. Step 5: Solve for x
   x = 11,216,080,836/49,065
6. Step 6: Final answer
   x = 228,596.37