Finding the Third Proportional to 111,794 and 166,171

Step by Step Solution

1. Step 1: Write the proportion equation
   111,794 : 166,171 = 166,171 : x
2. Step 2: Convert to fraction form
   111,794/166,171 = 166,171/x
3. Step 3: Cross multiply
   111,794x = 166,171 × 166,171
4. Step 4: Simplify right side
   111,794x = 27,612,801,241
5. Step 5: Solve for x
   x = 27,612,801,241/111,794
6. Step 6: Final answer
   x = 246,997.17