Finding the Third Proportional to 228,878 and 478,684

Step by Step Solution

1. Step 1: Write the proportion equation
   228,878 : 478,684 = 478,684 : x
2. Step 2: Convert to fraction form
   228,878/478,684 = 478,684/x
3. Step 3: Cross multiply
   228,878x = 478,684 × 478,684
4. Step 4: Simplify right side
   228,878x = 229,138,371,856
5. Step 5: Solve for x
   x = 229,138,371,856/228,878
6. Step 6: Final answer
   x = 1,001,137.60