Finding the Third Proportional to 50,236 and 109,462

Step by Step Solution

1. Step 1: Write the proportion equation
   50,236 : 109,462 = 109,462 : x
2. Step 2: Convert to fraction form
   50,236/109,462 = 109,462/x
3. Step 3: Cross multiply
   50,236x = 109,462 × 109,462
4. Step 4: Simplify right side
   50,236x = 11,981,929,444
5. Step 5: Solve for x
   x = 11,981,929,444/50,236
6. Step 6: Final answer
   x = 238,512.81