Finding the Third Proportional to 226,926 and 493,644

Step by Step Solution

1. Step 1: Write the proportion equation
   226,926 : 493,644 = 493,644 : x
2. Step 2: Convert to fraction form
   226,926/493,644 = 493,644/x
3. Step 3: Cross multiply
   226,926x = 493,644 × 493,644
4. Step 4: Simplify right side
   226,926x = 243,684,398,736
5. Step 5: Solve for x
   x = 243,684,398,736/226,926
6. Step 6: Final answer
   x = 1,073,849.62