Finding the Third Proportional to 199,152 and 315,500

Step by Step Solution

1. Step 1: Write the proportion equation
   199,152 : 315,500 = 315,500 : x
2. Step 2: Convert to fraction form
   199,152/315,500 = 315,500/x
3. Step 3: Cross multiply
   199,152x = 315,500 × 315,500
4. Step 4: Simplify right side
   199,152x = 99,540,250,000
5. Step 5: Solve for x
   x = 99,540,250,000/199,152
6. Step 6: Final answer
   x = 499,820.49