Finding the Third Proportional to 49,532 and 108,096

Step by Step Solution

1. Step 1: Write the proportion equation
   49,532 : 108,096 = 108,096 : x
2. Step 2: Convert to fraction form
   49,532/108,096 = 108,096/x
3. Step 3: Cross multiply
   49,532x = 108,096 × 108,096
4. Step 4: Simplify right side
   49,532x = 11,684,745,216
5. Step 5: Solve for x
   x = 11,684,745,216/49,532
6. Step 6: Final answer
   x = 235,902.96