Finding the Third Proportional to 204,521.63 and 477,678

Step by Step Solution

1. Step 1: Write the proportion equation
   204,521.63 : 477,678 = 477,678 : x
2. Step 2: Convert to fraction form
   204,521.63/477,678 = 477,678/x
3. Step 3: Cross multiply
   204,521.63x = 477,678 × 477,678
4. Step 4: Simplify right side
   204,521.63x = 228,176,271,684
5. Step 5: Solve for x
   x = 228,176,271,684/204,521.63
6. Step 6: Final answer
   x = 1,115,658.41