Finding the Third Proportional to 106,856 and 166,116

Step by Step Solution

1. Step 1: Write the proportion equation
   106,856 : 166,116 = 166,116 : x
2. Step 2: Convert to fraction form
   106,856/166,116 = 166,116/x
3. Step 3: Cross multiply
   106,856x = 166,116 × 166,116
4. Step 4: Simplify right side
   106,856x = 27,594,525,456
5. Step 5: Solve for x
   x = 27,594,525,456/106,856
6. Step 6: Final answer
   x = 258,240.30