Finding the Third Proportional to 226,857 and 335,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   226,857 : 335,095.50 = 335,095.50 : x
2. Step 2: Convert to fraction form
   226,857/335,095.50 = 335,095.50/x
3. Step 3: Cross multiply
   226,857x = 335,095.50 × 335,095.50
4. Step 4: Simplify right side
   226,857x = 112,288,994,120.25
5. Step 5: Solve for x
   x = 112,288,994,120.25/226,857
6. Step 6: Final answer
   x = 494,976.99