Finding the Third Proportional to 48,096 and 105,048

Step by Step Solution

1. Step 1: Write the proportion equation
   48,096 : 105,048 = 105,048 : x
2. Step 2: Convert to fraction form
   48,096/105,048 = 105,048/x
3. Step 3: Cross multiply
   48,096x = 105,048 × 105,048
4. Step 4: Simplify right side
   48,096x = 11,035,082,304
5. Step 5: Solve for x
   x = 11,035,082,304/48,096
6. Step 6: Final answer
   x = 229,438.67