Finding the Third Proportional to 213,871.50 and 298,998

Step by Step Solution

1. Step 1: Write the proportion equation
   213,871.50 : 298,998 = 298,998 : x
2. Step 2: Convert to fraction form
   213,871.50/298,998 = 298,998/x
3. Step 3: Cross multiply
   213,871.50x = 298,998 × 298,998
4. Step 4: Simplify right side
   213,871.50x = 89,399,804,004
5. Step 5: Solve for x
   x = 89,399,804,004/213,871.50
6. Step 6: Final answer
   x = 418,007.09