Finding the Third Proportional to 154,083.50 and 320,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,083.50 : 320,262.50 = 320,262.50 : x
2. Step 2: Convert to fraction form
   154,083.50/320,262.50 = 320,262.50/x
3. Step 3: Cross multiply
   154,083.50x = 320,262.50 × 320,262.50
4. Step 4: Simplify right side
   154,083.50x = 102,568,068,906.25
5. Step 5: Solve for x
   x = 102,568,068,906.25/154,083.50
6. Step 6: Final answer
   x = 665,665.49