Finding the Third Proportional to 54,024 and 116,112

Step by Step Solution

1. Step 1: Write the proportion equation
   54,024 : 116,112 = 116,112 : x
2. Step 2: Convert to fraction form
   54,024/116,112 = 116,112/x
3. Step 3: Cross multiply
   54,024x = 116,112 × 116,112
4. Step 4: Simplify right side
   54,024x = 13,481,996,544
5. Step 5: Solve for x
   x = 13,481,996,544/54,024
6. Step 6: Final answer
   x = 249,555.69