Finding the Third Proportional to 50,384 and 108,496

Step by Step Solution

1. Step 1: Write the proportion equation
   50,384 : 108,496 = 108,496 : x
2. Step 2: Convert to fraction form
   50,384/108,496 = 108,496/x
3. Step 3: Cross multiply
   50,384x = 108,496 × 108,496
4. Step 4: Simplify right side
   50,384x = 11,771,382,016
5. Step 5: Solve for x
   x = 11,771,382,016/50,384
6. Step 6: Final answer
   x = 233,633.34