Finding the Third Proportional to 229,635 and 335,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,635 : 335,380.50 = 335,380.50 : x
2. Step 2: Convert to fraction form
   229,635/335,380.50 = 335,380.50/x
3. Step 3: Cross multiply
   229,635x = 335,380.50 × 335,380.50
4. Step 4: Simplify right side
   229,635x = 112,480,079,780.25
5. Step 5: Solve for x
   x = 112,480,079,780.25/229,635
6. Step 6: Final answer
   x = 489,821.15