Finding the Third Proportional to 285.89 and 624.23

Step by Step Solution

1. Step 1: Write the proportion equation
   285.89 : 624.23 = 624.23 : x
2. Step 2: Convert to fraction form
   285.89/624.23 = 624.23/x
3. Step 3: Cross multiply
   285.89x = 624.23 × 624.23
4. Step 4: Simplify right side
   285.89x = 389,668.55
5. Step 5: Solve for x
   x = 389,668.55/285.89
6. Step 6: Final answer
   x = 1,363.00