Finding the Third Proportional to 50,564 and 108,880

Step by Step Solution

1. Step 1: Write the proportion equation
   50,564 : 108,880 = 108,880 : x
2. Step 2: Convert to fraction form
   50,564/108,880 = 108,880/x
3. Step 3: Cross multiply
   50,564x = 108,880 × 108,880
4. Step 4: Simplify right side
   50,564x = 11,854,854,400
5. Step 5: Solve for x
   x = 11,854,854,400/50,564
6. Step 6: Final answer
   x = 234,452.46