Finding the Third Proportional to 199,156 and 315,506

Step by Step Solution

1. Step 1: Write the proportion equation
   199,156 : 315,506 = 315,506 : x
2. Step 2: Convert to fraction form
   199,156/315,506 = 315,506/x
3. Step 3: Cross multiply
   199,156x = 315,506 × 315,506
4. Step 4: Simplify right side
   199,156x = 99,544,036,036
5. Step 5: Solve for x
   x = 99,544,036,036/199,156
6. Step 6: Final answer
   x = 499,829.46