Finding the Third Proportional to 109,728 and 166,128

Step by Step Solution

1. Step 1: Write the proportion equation
   109,728 : 166,128 = 166,128 : x
2. Step 2: Convert to fraction form
   109,728/166,128 = 166,128/x
3. Step 3: Cross multiply
   109,728x = 166,128 × 166,128
4. Step 4: Simplify right side
   109,728x = 27,598,512,384
5. Step 5: Solve for x
   x = 27,598,512,384/109,728
6. Step 6: Final answer
   x = 251,517.50