Finding the Third Proportional to 199,148 and 315,494

Step by Step Solution

1. Step 1: Write the proportion equation
   199,148 : 315,494 = 315,494 : x
2. Step 2: Convert to fraction form
   199,148/315,494 = 315,494/x
3. Step 3: Cross multiply
   199,148x = 315,494 × 315,494
4. Step 4: Simplify right side
   199,148x = 99,536,464,036
5. Step 5: Solve for x
   x = 99,536,464,036/199,148
6. Step 6: Final answer
   x = 499,811.52