Finding the Third Proportional to 54,315 and 116,802

Step by Step Solution

1. Step 1: Write the proportion equation
   54,315 : 116,802 = 116,802 : x
2. Step 2: Convert to fraction form
   54,315/116,802 = 116,802/x
3. Step 3: Cross multiply
   54,315x = 116,802 × 116,802
4. Step 4: Simplify right side
   54,315x = 13,642,707,204
5. Step 5: Solve for x
   x = 13,642,707,204/54,315
6. Step 6: Final answer
   x = 251,177.52