Finding the Third Proportional to 377,800.50 and 523,626

Step by Step Solution

1. Step 1: Write the proportion equation
   377,800.50 : 523,626 = 523,626 : x
2. Step 2: Convert to fraction form
   377,800.50/523,626 = 523,626/x
3. Step 3: Cross multiply
   377,800.50x = 523,626 × 523,626
4. Step 4: Simplify right side
   377,800.50x = 274,184,187,876
5. Step 5: Solve for x
   x = 274,184,187,876/377,800.50
6. Step 6: Final answer
   x = 725,738.02