Finding the Third Proportional to 50,105 and 116,514

Step by Step Solution

1. Step 1: Write the proportion equation
   50,105 : 116,514 = 116,514 : x
2. Step 2: Convert to fraction form
   50,105/116,514 = 116,514/x
3. Step 3: Cross multiply
   50,105x = 116,514 × 116,514
4. Step 4: Simplify right side
   50,105x = 13,575,512,196
5. Step 5: Solve for x
   x = 13,575,512,196/50,105
6. Step 6: Final answer
   x = 270,941.27