Finding the Third Proportional to 213,963 and 331,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,963 : 331,126.50 = 331,126.50 : x
2. Step 2: Convert to fraction form
   213,963/331,126.50 = 331,126.50/x
3. Step 3: Cross multiply
   213,963x = 331,126.50 × 331,126.50
4. Step 4: Simplify right side
   213,963x = 109,644,759,002.25
5. Step 5: Solve for x
   x = 109,644,759,002.25/213,963
6. Step 6: Final answer
   x = 512,447.29