Finding the Third Proportional to 225,846 and 332,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,846 : 332,536.50 = 332,536.50 : x
2. Step 2: Convert to fraction form
   225,846/332,536.50 = 332,536.50/x
3. Step 3: Cross multiply
   225,846x = 332,536.50 × 332,536.50
4. Step 4: Simplify right side
   225,846x = 110,580,523,832.25
5. Step 5: Solve for x
   x = 110,580,523,832.25/225,846
6. Step 6: Final answer
   x = 489,627.99