Finding the Third Proportional to 197,568 and 466,096

Step by Step Solution

1. Step 1: Write the proportion equation
   197,568 : 466,096 = 466,096 : x
2. Step 2: Convert to fraction form
   197,568/466,096 = 466,096/x
3. Step 3: Cross multiply
   197,568x = 466,096 × 466,096
4. Step 4: Simplify right side
   197,568x = 217,245,481,216
5. Step 5: Solve for x
   x = 217,245,481,216/197,568
6. Step 6: Final answer
   x = 1,099,598.52