Finding the Third Proportional to 50,576 and 112,384

Step by Step Solution

1. Step 1: Write the proportion equation
   50,576 : 112,384 = 112,384 : x
2. Step 2: Convert to fraction form
   50,576/112,384 = 112,384/x
3. Step 3: Cross multiply
   50,576x = 112,384 × 112,384
4. Step 4: Simplify right side
   50,576x = 12,630,163,456
5. Step 5: Solve for x
   x = 12,630,163,456/50,576
6. Step 6: Final answer
   x = 249,726.42