Finding the Third Proportional to 313,442.50 and 477,508

Step by Step Solution

1. Step 1: Write the proportion equation
   313,442.50 : 477,508 = 477,508 : x
2. Step 2: Convert to fraction form
   313,442.50/477,508 = 477,508/x
3. Step 3: Cross multiply
   313,442.50x = 477,508 × 477,508
4. Step 4: Simplify right side
   313,442.50x = 228,013,890,064
5. Step 5: Solve for x
   x = 228,013,890,064/313,442.50
6. Step 6: Final answer
   x = 727,450.46