Finding the Third Proportional to 111,906 and 165,747

Step by Step Solution

1. Step 1: Write the proportion equation
   111,906 : 165,747 = 165,747 : x
2. Step 2: Convert to fraction form
   111,906/165,747 = 165,747/x
3. Step 3: Cross multiply
   111,906x = 165,747 × 165,747
4. Step 4: Simplify right side
   111,906x = 27,472,068,009
5. Step 5: Solve for x
   x = 27,472,068,009/111,906
6. Step 6: Final answer
   x = 245,492.36