Finding the Third Proportional to 407.50 and 999.25

Step by Step Solution

1. Step 1: Write the proportion equation
   407.50 : 999.25 = 999.25 : x
2. Step 2: Convert to fraction form
   407.50/999.25 = 999.25/x
3. Step 3: Cross multiply
   407.50x = 999.25 × 999.25
4. Step 4: Simplify right side
   407.50x = 998,500.56
5. Step 5: Solve for x
   x = 998,500.56/407.50
6. Step 6: Final answer
   x = 2,450.31