Finding the Third Proportional to 108,540 and 166,932.56

Step by Step Solution

1. Step 1: Write the proportion equation
   108,540 : 166,932.56 = 166,932.56 : x
2. Step 2: Convert to fraction form
   108,540/166,932.56 = 166,932.56/x
3. Step 3: Cross multiply
   108,540x = 166,932.56 × 166,932.56
4. Step 4: Simplify right side
   108,540x = 27,866,480,422.82
5. Step 5: Solve for x
   x = 27,866,480,422.82/108,540
6. Step 6: Final answer
   x = 256,739.27