Finding the Third Proportional to 108,096 and 237,504

Step by Step Solution

1. Step 1: Write the proportion equation
   108,096 : 237,504 = 237,504 : x
2. Step 2: Convert to fraction form
   108,096/237,504 = 237,504/x
3. Step 3: Cross multiply
   108,096x = 237,504 × 237,504
4. Step 4: Simplify right side
   108,096x = 56,408,150,016
5. Step 5: Solve for x
   x = 56,408,150,016/108,096
6. Step 6: Final answer
   x = 521,833.83