Finding the Third Proportional to 213,867 and 331,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,867 : 331,114.50 = 331,114.50 : x
2. Step 2: Convert to fraction form
   213,867/331,114.50 = 331,114.50/x
3. Step 3: Cross multiply
   213,867x = 331,114.50 × 331,114.50
4. Step 4: Simplify right side
   213,867x = 109,636,812,110.25
5. Step 5: Solve for x
   x = 109,636,812,110.25/213,867
6. Step 6: Final answer
   x = 512,640.16