Finding the Third Proportional to 105,135 and 166,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,135 : 166,456.50 = 166,456.50 : x
2. Step 2: Convert to fraction form
   105,135/166,456.50 = 166,456.50/x
3. Step 3: Cross multiply
   105,135x = 166,456.50 × 166,456.50
4. Step 4: Simplify right side
   105,135x = 27,707,766,392.25
5. Step 5: Solve for x
   x = 27,707,766,392.25/105,135
6. Step 6: Final answer
   x = 263,544.65