Finding the Third Proportional to 338,107.50 and 523,260

Step by Step Solution

1. Step 1: Write the proportion equation
   338,107.50 : 523,260 = 523,260 : x
2. Step 2: Convert to fraction form
   338,107.50/523,260 = 523,260/x
3. Step 3: Cross multiply
   338,107.50x = 523,260 × 523,260
4. Step 4: Simplify right side
   338,107.50x = 273,801,027,600
5. Step 5: Solve for x
   x = 273,801,027,600/338,107.50
6. Step 6: Final answer
   x = 809,804.66