Finding the Third Proportional to 50,648 and 117,256

Step by Step Solution

1. Step 1: Write the proportion equation
   50,648 : 117,256 = 117,256 : x
2. Step 2: Convert to fraction form
   50,648/117,256 = 117,256/x
3. Step 3: Cross multiply
   50,648x = 117,256 × 117,256
4. Step 4: Simplify right side
   50,648x = 13,748,969,536
5. Step 5: Solve for x
   x = 13,748,969,536/50,648
6. Step 6: Final answer
   x = 271,461.25