Finding the Third Proportional to 54,096 and 115,836

Step by Step Solution

1. Step 1: Write the proportion equation
   54,096 : 115,836 = 115,836 : x
2. Step 2: Convert to fraction form
   54,096/115,836 = 115,836/x
3. Step 3: Cross multiply
   54,096x = 115,836 × 115,836
4. Step 4: Simplify right side
   54,096x = 13,417,978,896
5. Step 5: Solve for x
   x = 13,417,978,896/54,096
6. Step 6: Final answer
   x = 248,040.13