Finding the Third Proportional to 213,948 and 331,290

Step by Step Solution

1. Step 1: Write the proportion equation
   213,948 : 331,290 = 331,290 : x
2. Step 2: Convert to fraction form
   213,948/331,290 = 331,290/x
3. Step 3: Cross multiply
   213,948x = 331,290 × 331,290
4. Step 4: Simplify right side
   213,948x = 109,753,064,100
5. Step 5: Solve for x
   x = 109,753,064,100/213,948
6. Step 6: Final answer
   x = 512,989.44