Finding the Third Proportional to 110,576 and 166,662

Step by Step Solution

1. Step 1: Write the proportion equation
   110,576 : 166,662 = 166,662 : x
2. Step 2: Convert to fraction form
   110,576/166,662 = 166,662/x
3. Step 3: Cross multiply
   110,576x = 166,662 × 166,662
4. Step 4: Simplify right side
   110,576x = 27,776,222,244
5. Step 5: Solve for x
   x = 27,776,222,244/110,576
6. Step 6: Final answer
   x = 251,195.76