Finding the Third Proportional to 204,508 and 477,640

Step by Step Solution

1. Step 1: Write the proportion equation
   204,508 : 477,640 = 477,640 : x
2. Step 2: Convert to fraction form
   204,508/477,640 = 477,640/x
3. Step 3: Cross multiply
   204,508x = 477,640 × 477,640
4. Step 4: Simplify right side
   204,508x = 228,139,969,600
5. Step 5: Solve for x
   x = 228,139,969,600/204,508
6. Step 6: Final answer
   x = 1,115,555.23