Finding the Third Proportional to 50,692 and 111,320

Step by Step Solution

1. Step 1: Write the proportion equation
   50,692 : 111,320 = 111,320 : x
2. Step 2: Convert to fraction form
   50,692/111,320 = 111,320/x
3. Step 3: Cross multiply
   50,692x = 111,320 × 111,320
4. Step 4: Simplify right side
   50,692x = 12,392,142,400
5. Step 5: Solve for x
   x = 12,392,142,400/50,692
6. Step 6: Final answer
   x = 244,459.53