Finding the Third Proportional to 213,852 and 298,980

Step by Step Solution

1. Step 1: Write the proportion equation
   213,852 : 298,980 = 298,980 : x
2. Step 2: Convert to fraction form
   213,852/298,980 = 298,980/x
3. Step 3: Cross multiply
   213,852x = 298,980 × 298,980
4. Step 4: Simplify right side
   213,852x = 89,389,040,400
5. Step 5: Solve for x
   x = 89,389,040,400/213,852
6. Step 6: Final answer
   x = 417,994.88