Finding the Third Proportional to 443.25 and 623.81

Step by Step Solution

1. Step 1: Write the proportion equation
   443.25 : 623.81 = 623.81 : x
2. Step 2: Convert to fraction form
   443.25/623.81 = 623.81/x
3. Step 3: Cross multiply
   443.25x = 623.81 × 623.81
4. Step 4: Simplify right side
   443.25x = 389,142.04
5. Step 5: Solve for x
   x = 389,142.04/443.25
6. Step 6: Final answer
   x = 877.93