Finding the Third Proportional to 226,863 and 333,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   226,863 : 333,733.50 = 333,733.50 : x
2. Step 2: Convert to fraction form
   226,863/333,733.50 = 333,733.50/x
3. Step 3: Cross multiply
   226,863x = 333,733.50 × 333,733.50
4. Step 4: Simplify right side
   226,863x = 111,378,049,022.25
5. Step 5: Solve for x
   x = 111,378,049,022.25/226,863
6. Step 6: Final answer
   x = 490,948.50