Finding the Third Proportional to 405.50 and 626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405.50 : 626.50 = 626.50 : x
2. Step 2: Convert to fraction form
   405.50/626.50 = 626.50/x
3. Step 3: Cross multiply
   405.50x = 626.50 × 626.50
4. Step 4: Simplify right side
   405.50x = 392,502.25
5. Step 5: Solve for x
   x = 392,502.25/405.50
6. Step 6: Final answer
   x = 967.95