Finding the Third Proportional to 49,536 and 103,968

Step by Step Solution

1. Step 1: Write the proportion equation
   49,536 : 103,968 = 103,968 : x
2. Step 2: Convert to fraction form
   49,536/103,968 = 103,968/x
3. Step 3: Cross multiply
   49,536x = 103,968 × 103,968
4. Step 4: Simplify right side
   49,536x = 10,809,345,024
5. Step 5: Solve for x
   x = 10,809,345,024/49,536
6. Step 6: Final answer
   x = 218,211.91