Finding the Third Proportional to 50,648 and 109,936

Step by Step Solution

1. Step 1: Write the proportion equation
   50,648 : 109,936 = 109,936 : x
2. Step 2: Convert to fraction form
   50,648/109,936 = 109,936/x
3. Step 3: Cross multiply
   50,648x = 109,936 × 109,936
4. Step 4: Simplify right side
   50,648x = 12,085,924,096
5. Step 5: Solve for x
   x = 12,085,924,096/50,648
6. Step 6: Final answer
   x = 238,625.89