Finding the Third Proportional to 49,848 and 109,578

Step by Step Solution

1. Step 1: Write the proportion equation
   49,848 : 109,578 = 109,578 : x
2. Step 2: Convert to fraction form
   49,848/109,578 = 109,578/x
3. Step 3: Cross multiply
   49,848x = 109,578 × 109,578
4. Step 4: Simplify right side
   49,848x = 12,007,338,084
5. Step 5: Solve for x
   x = 12,007,338,084/49,848
6. Step 6: Final answer
   x = 240,879.03