Finding the Third Proportional to 50,578 and 112,388

Step by Step Solution

1. Step 1: Write the proportion equation
   50,578 : 112,388 = 112,388 : x
2. Step 2: Convert to fraction form
   50,578/112,388 = 112,388/x
3. Step 3: Cross multiply
   50,578x = 112,388 × 112,388
4. Step 4: Simplify right side
   50,578x = 12,631,062,544
5. Step 5: Solve for x
   x = 12,631,062,544/50,578
6. Step 6: Final answer
   x = 249,734.32