Finding the Third Proportional to 49,528 and 105,968

Step by Step Solution

1. Step 1: Write the proportion equation
   49,528 : 105,968 = 105,968 : x
2. Step 2: Convert to fraction form
   49,528/105,968 = 105,968/x
3. Step 3: Cross multiply
   49,528x = 105,968 × 105,968
4. Step 4: Simplify right side
   49,528x = 11,229,217,024
5. Step 5: Solve for x
   x = 11,229,217,024/49,528
6. Step 6: Final answer
   x = 226,724.62