Finding the Third Proportional to 283.50 and 421.31

Step by Step Solution

1. Step 1: Write the proportion equation
   283.50 : 421.31 = 421.31 : x
2. Step 2: Convert to fraction form
   283.50/421.31 = 421.31/x
3. Step 3: Cross multiply
   283.50x = 421.31 × 421.31
4. Step 4: Simplify right side
   283.50x = 177,504.22
5. Step 5: Solve for x
   x = 177,504.22/283.50
6. Step 6: Final answer
   x = 626.12