Finding the Third Proportional to 200,078.50 and 305,199.38

Step by Step Solution

1. Step 1: Write the proportion equation
   200,078.50 : 305,199.38 = 305,199.38 : x
2. Step 2: Convert to fraction form
   200,078.50/305,199.38 = 305,199.38/x
3. Step 3: Cross multiply
   200,078.50x = 305,199.38 × 305,199.38
4. Step 4: Simplify right side
   200,078.50x = 93,146,658,500.39
5. Step 5: Solve for x
   x = 93,146,658,500.39/200,078.50
6. Step 6: Final answer
   x = 465,550.56