Finding the Third Proportional to 196,568 and 311,752

Step by Step Solution

1. Step 1: Write the proportion equation
   196,568 : 311,752 = 311,752 : x
2. Step 2: Convert to fraction form
   196,568/311,752 = 311,752/x
3. Step 3: Cross multiply
   196,568x = 311,752 × 311,752
4. Step 4: Simplify right side
   196,568x = 97,189,309,504
5. Step 5: Solve for x
   x = 97,189,309,504/196,568
6. Step 6: Final answer
   x = 494,430.98