Finding the Third Proportional to 49,072 and 105,696

Step by Step Solution

1. Step 1: Write the proportion equation
   49,072 : 105,696 = 105,696 : x
2. Step 2: Convert to fraction form
   49,072/105,696 = 105,696/x
3. Step 3: Cross multiply
   49,072x = 105,696 × 105,696
4. Step 4: Simplify right side
   49,072x = 11,171,644,416
5. Step 5: Solve for x
   x = 11,171,644,416/49,072
6. Step 6: Final answer
   x = 227,658.22