Finding the Third Proportional to 49,416 and 105,384

Step by Step Solution

1. Step 1: Write the proportion equation
   49,416 : 105,384 = 105,384 : x
2. Step 2: Convert to fraction form
   49,416/105,384 = 105,384/x
3. Step 3: Cross multiply
   49,416x = 105,384 × 105,384
4. Step 4: Simplify right side
   49,416x = 11,105,787,456
5. Step 5: Solve for x
   x = 11,105,787,456/49,416
6. Step 6: Final answer
   x = 224,740.72