Finding the Third Proportional to 199,576.50 and 298,578

Step by Step Solution

1. Step 1: Write the proportion equation
   199,576.50 : 298,578 = 298,578 : x
2. Step 2: Convert to fraction form
   199,576.50/298,578 = 298,578/x
3. Step 3: Cross multiply
   199,576.50x = 298,578 × 298,578
4. Step 4: Simplify right side
   199,576.50x = 89,148,822,084
5. Step 5: Solve for x
   x = 89,148,822,084/199,576.50
6. Step 6: Final answer
   x = 446,689.98