Finding the Third Proportional to 49,774 and 109,388

Step by Step Solution

1. Step 1: Write the proportion equation
   49,774 : 109,388 = 109,388 : x
2. Step 2: Convert to fraction form
   49,774/109,388 = 109,388/x
3. Step 3: Cross multiply
   49,774x = 109,388 × 109,388
4. Step 4: Simplify right side
   49,774x = 11,965,734,544
5. Step 5: Solve for x
   x = 11,965,734,544/49,774
6. Step 6: Final answer
   x = 240,401.30