Finding the Third Proportional to 299.50 and 384.25

Step by Step Solution

1. Step 1: Write the proportion equation
   299.50 : 384.25 = 384.25 : x
2. Step 2: Convert to fraction form
   299.50/384.25 = 384.25/x
3. Step 3: Cross multiply
   299.50x = 384.25 × 384.25
4. Step 4: Simplify right side
   299.50x = 147,648.06
5. Step 5: Solve for x
   x = 147,648.06/299.50
6. Step 6: Final answer
   x = 492.98