Finding the Third Proportional to 105,252 and 166,644

Step by Step Solution

1. Step 1: Write the proportion equation
   105,252 : 166,644 = 166,644 : x
2. Step 2: Convert to fraction form
   105,252/166,644 = 166,644/x
3. Step 3: Cross multiply
   105,252x = 166,644 × 166,644
4. Step 4: Simplify right side
   105,252x = 27,770,222,736
5. Step 5: Solve for x
   x = 27,770,222,736/105,252
6. Step 6: Final answer
   x = 263,845.08