Finding the Third Proportional to 49,833 and 109,458

Step by Step Solution

1. Step 1: Write the proportion equation
   49,833 : 109,458 = 109,458 : x
2. Step 2: Convert to fraction form
   49,833/109,458 = 109,458/x
3. Step 3: Cross multiply
   49,833x = 109,458 × 109,458
4. Step 4: Simplify right side
   49,833x = 11,981,053,764
5. Step 5: Solve for x
   x = 11,981,053,764/49,833
6. Step 6: Final answer
   x = 240,424.09