Finding the Third Proportional to 226,944 and 488,064

Step by Step Solution

1. Step 1: Write the proportion equation
   226,944 : 488,064 = 488,064 : x
2. Step 2: Convert to fraction form
   226,944/488,064 = 488,064/x
3. Step 3: Cross multiply
   226,944x = 488,064 × 488,064
4. Step 4: Simplify right side
   226,944x = 238,206,468,096
5. Step 5: Solve for x
   x = 238,206,468,096/226,944
6. Step 6: Final answer
   x = 1,049,626.64