Finding the Third Proportional to 54,105 and 116,532

Step by Step Solution

1. Step 1: Write the proportion equation
   54,105 : 116,532 = 116,532 : x
2. Step 2: Convert to fraction form
   54,105/116,532 = 116,532/x
3. Step 3: Cross multiply
   54,105x = 116,532 × 116,532
4. Step 4: Simplify right side
   54,105x = 13,579,707,024
5. Step 5: Solve for x
   x = 13,579,707,024/54,105
6. Step 6: Final answer
   x = 250,988.02