Finding the Third Proportional to 108,291 and 166,662

Step by Step Solution

1. Step 1: Write the proportion equation
   108,291 : 166,662 = 166,662 : x
2. Step 2: Convert to fraction form
   108,291/166,662 = 166,662/x
3. Step 3: Cross multiply
   108,291x = 166,662 × 166,662
4. Step 4: Simplify right side
   108,291x = 27,776,222,244
5. Step 5: Solve for x
   x = 27,776,222,244/108,291
6. Step 6: Final answer
   x = 256,496.13