Finding the Third Proportional to 105,751 and 166,145

Step by Step Solution

1. Step 1: Write the proportion equation
   105,751 : 166,145 = 166,145 : x
2. Step 2: Convert to fraction form
   105,751/166,145 = 166,145/x
3. Step 3: Cross multiply
   105,751x = 166,145 × 166,145
4. Step 4: Simplify right side
   105,751x = 27,604,161,025
5. Step 5: Solve for x
   x = 27,604,161,025/105,751
6. Step 6: Final answer
   x = 261,029.79