Finding the Third Proportional to 50,996 and 109,378

Step by Step Solution

1. Step 1: Write the proportion equation
   50,996 : 109,378 = 109,378 : x
2. Step 2: Convert to fraction form
   50,996/109,378 = 109,378/x
3. Step 3: Cross multiply
   50,996x = 109,378 × 109,378
4. Step 4: Simplify right side
   50,996x = 11,963,546,884
5. Step 5: Solve for x
   x = 11,963,546,884/50,996
6. Step 6: Final answer
   x = 234,597.75