Finding the Third Proportional to 213,974.50 and 331,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,974.50 : 331,141.50 = 331,141.50 : x
2. Step 2: Convert to fraction form
   213,974.50/331,141.50 = 331,141.50/x
3. Step 3: Cross multiply
   213,974.50x = 331,141.50 × 331,141.50
4. Step 4: Simplify right side
   213,974.50x = 109,654,693,022.25
5. Step 5: Solve for x
   x = 109,654,693,022.25/213,974.50
6. Step 6: Final answer
   x = 512,466.17