Finding the Third Proportional to 213,855.50 and 298,982

Step by Step Solution

1. Step 1: Write the proportion equation
   213,855.50 : 298,982 = 298,982 : x
2. Step 2: Convert to fraction form
   213,855.50/298,982 = 298,982/x
3. Step 3: Cross multiply
   213,855.50x = 298,982 × 298,982
4. Step 4: Simplify right side
   213,855.50x = 89,390,236,324
5. Step 5: Solve for x
   x = 89,390,236,324/213,855.50
6. Step 6: Final answer
   x = 417,993.63