Finding the Third Proportional to 50,105 and 116,502

Step by Step Solution

1. Step 1: Write the proportion equation
   50,105 : 116,502 = 116,502 : x
2. Step 2: Convert to fraction form
   50,105/116,502 = 116,502/x
3. Step 3: Cross multiply
   50,105x = 116,502 × 116,502
4. Step 4: Simplify right side
   50,105x = 13,572,716,004
5. Step 5: Solve for x
   x = 13,572,716,004/50,105
6. Step 6: Final answer
   x = 270,885.46