Finding the Third Proportional to 338,105.50 and 523,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,105.50 : 523,255.50 = 523,255.50 : x
2. Step 2: Convert to fraction form
   338,105.50/523,255.50 = 523,255.50/x
3. Step 3: Cross multiply
   338,105.50x = 523,255.50 × 523,255.50
4. Step 4: Simplify right side
   338,105.50x = 273,796,318,280.25
5. Step 5: Solve for x
   x = 273,796,318,280.25/338,105.50
6. Step 6: Final answer
   x = 809,795.52