Finding the Third Proportional to 442.50 and 663.38

Step by Step Solution

1. Step 1: Write the proportion equation
   442.50 : 663.38 = 663.38 : x
2. Step 2: Convert to fraction form
   442.50/663.38 = 663.38/x
3. Step 3: Cross multiply
   442.50x = 663.38 × 663.38
4. Step 4: Simplify right side
   442.50x = 440,066.39
5. Step 5: Solve for x
   x = 440,066.39/442.50
6. Step 6: Final answer
   x = 994.50