Finding the Third Proportional to 284.50 and 623.69

Step by Step Solution

1. Step 1: Write the proportion equation
   284.50 : 623.69 = 623.69 : x
2. Step 2: Convert to fraction form
   284.50/623.69 = 623.69/x
3. Step 3: Cross multiply
   284.50x = 623.69 × 623.69
4. Step 4: Simplify right side
   284.50x = 388,986.10
5. Step 5: Solve for x
   x = 388,986.10/284.50
6. Step 6: Final answer
   x = 1,367.26