Finding the Third Proportional to 353,104 and 547,096

Step by Step Solution

1. Step 1: Write the proportion equation
   353,104 : 547,096 = 547,096 : x
2. Step 2: Convert to fraction form
   353,104/547,096 = 547,096/x
3. Step 3: Cross multiply
   353,104x = 547,096 × 547,096
4. Step 4: Simplify right side
   353,104x = 299,314,033,216
5. Step 5: Solve for x
   x = 299,314,033,216/353,104
6. Step 6: Final answer
   x = 847,665.37