Finding the Third Proportional to 50,692 and 111,496

Step by Step Solution

1. Step 1: Write the proportion equation
   50,692 : 111,496 = 111,496 : x
2. Step 2: Convert to fraction form
   50,692/111,496 = 111,496/x
3. Step 3: Cross multiply
   50,692x = 111,496 × 111,496
4. Step 4: Simplify right side
   50,692x = 12,431,358,016
5. Step 5: Solve for x
   x = 12,431,358,016/50,692
6. Step 6: Final answer
   x = 245,233.13