Finding the Third Proportional to 49,264 and 105,919

Step by Step Solution

1. Step 1: Write the proportion equation
   49,264 : 105,919 = 105,919 : x
2. Step 2: Convert to fraction form
   49,264/105,919 = 105,919/x
3. Step 3: Cross multiply
   49,264x = 105,919 × 105,919
4. Step 4: Simplify right side
   49,264x = 11,218,834,561
5. Step 5: Solve for x
   x = 11,218,834,561/49,264
6. Step 6: Final answer
   x = 227,728.86