Finding the Third Proportional to 49,491 and 108,774

Step by Step Solution

1. Step 1: Write the proportion equation
   49,491 : 108,774 = 108,774 : x
2. Step 2: Convert to fraction form
   49,491/108,774 = 108,774/x
3. Step 3: Cross multiply
   49,491x = 108,774 × 108,774
4. Step 4: Simplify right side
   49,491x = 11,831,783,076
5. Step 5: Solve for x
   x = 11,831,783,076/49,491
6. Step 6: Final answer
   x = 239,069.39