Finding the Third Proportional to 284.50 and 382.69

Step by Step Solution

1. Step 1: Write the proportion equation
   284.50 : 382.69 = 382.69 : x
2. Step 2: Convert to fraction form
   284.50/382.69 = 382.69/x
3. Step 3: Cross multiply
   284.50x = 382.69 × 382.69
4. Step 4: Simplify right side
   284.50x = 146,449.72
5. Step 5: Solve for x
   x = 146,449.72/284.50
6. Step 6: Final answer
   x = 514.76