Finding the Third Proportional to 225,353 and 337,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,353 : 337,327.50 = 337,327.50 : x
2. Step 2: Convert to fraction form
   225,353/337,327.50 = 337,327.50/x
3. Step 3: Cross multiply
   225,353x = 337,327.50 × 337,327.50
4. Step 4: Simplify right side
   225,353x = 113,789,842,256.25
5. Step 5: Solve for x
   x = 113,789,842,256.25/225,353
6. Step 6: Final answer
   x = 504,940.44