Finding the Third Proportional to 47,832 and 105,096

Step by Step Solution

1. Step 1: Write the proportion equation
   47,832 : 105,096 = 105,096 : x
2. Step 2: Convert to fraction form
   47,832/105,096 = 105,096/x
3. Step 3: Cross multiply
   47,832x = 105,096 × 105,096
4. Step 4: Simplify right side
   47,832x = 11,045,169,216
5. Step 5: Solve for x
   x = 11,045,169,216/47,832
6. Step 6: Final answer
   x = 230,915.90