Finding the Third Proportional to 50,456 and 109,648

Step by Step Solution

1. Step 1: Write the proportion equation
   50,456 : 109,648 = 109,648 : x
2. Step 2: Convert to fraction form
   50,456/109,648 = 109,648/x
3. Step 3: Cross multiply
   50,456x = 109,648 × 109,648
4. Step 4: Simplify right side
   50,456x = 12,022,683,904
5. Step 5: Solve for x
   x = 12,022,683,904/50,456
6. Step 6: Final answer
   x = 238,280.56