Finding the Third Proportional to 225,288 and 478,096

Step by Step Solution

1. Step 1: Write the proportion equation
   225,288 : 478,096 = 478,096 : x
2. Step 2: Convert to fraction form
   225,288/478,096 = 478,096/x
3. Step 3: Cross multiply
   225,288x = 478,096 × 478,096
4. Step 4: Simplify right side
   225,288x = 228,575,785,216
5. Step 5: Solve for x
   x = 228,575,785,216/225,288
6. Step 6: Final answer
   x = 1,014,593.70