Finding the Third Proportional to 49,844 and 105,304

Step by Step Solution

1. Step 1: Write the proportion equation
   49,844 : 105,304 = 105,304 : x
2. Step 2: Convert to fraction form
   49,844/105,304 = 105,304/x
3. Step 3: Cross multiply
   49,844x = 105,304 × 105,304
4. Step 4: Simplify right side
   49,844x = 11,088,932,416
5. Step 5: Solve for x
   x = 11,088,932,416/49,844
6. Step 6: Final answer
   x = 222,472.76