Finding the Third Proportional to 456.38 and 984.38

Step by Step Solution

1. Step 1: Write the proportion equation
   456.38 : 984.38 = 984.38 : x
2. Step 2: Convert to fraction form
   456.38/984.38 = 984.38/x
3. Step 3: Cross multiply
   456.38x = 984.38 × 984.38
4. Step 4: Simplify right side
   456.38x = 968,994.14
5. Step 5: Solve for x
   x = 968,994.14/456.38
6. Step 6: Final answer
   x = 2,123.24