Finding the Third Proportional to 199,569 and 298,488

Step by Step Solution

1. Step 1: Write the proportion equation
   199,569 : 298,488 = 298,488 : x
2. Step 2: Convert to fraction form
   199,569/298,488 = 298,488/x
3. Step 3: Cross multiply
   199,569x = 298,488 × 298,488
4. Step 4: Simplify right side
   199,569x = 89,095,086,144
5. Step 5: Solve for x
   x = 89,095,086,144/199,569
6. Step 6: Final answer
   x = 446,437.50