Finding the Third Proportional to 226,742 and 494,310

Step by Step Solution

1. Step 1: Write the proportion equation
   226,742 : 494,310 = 494,310 : x
2. Step 2: Convert to fraction form
   226,742/494,310 = 494,310/x
3. Step 3: Cross multiply
   226,742x = 494,310 × 494,310
4. Step 4: Simplify right side
   226,742x = 244,342,376,100
5. Step 5: Solve for x
   x = 244,342,376,100/226,742
6. Step 6: Final answer
   x = 1,077,622.92