Finding the Third Proportional to 54,540 and 114,912

Step by Step Solution

1. Step 1: Write the proportion equation
   54,540 : 114,912 = 114,912 : x
2. Step 2: Convert to fraction form
   54,540/114,912 = 114,912/x
3. Step 3: Cross multiply
   54,540x = 114,912 × 114,912
4. Step 4: Simplify right side
   54,540x = 13,204,767,744
5. Step 5: Solve for x
   x = 13,204,767,744/54,540
6. Step 6: Final answer
   x = 242,111.62