Finding the Third Proportional to 50,328 and 108,384

Step by Step Solution

1. Step 1: Write the proportion equation
   50,328 : 108,384 = 108,384 : x
2. Step 2: Convert to fraction form
   50,328/108,384 = 108,384/x
3. Step 3: Cross multiply
   50,328x = 108,384 × 108,384
4. Step 4: Simplify right side
   50,328x = 11,747,091,456
5. Step 5: Solve for x
   x = 11,747,091,456/50,328
6. Step 6: Final answer
   x = 233,410.66