Finding the Third Proportional to 185.38 and 298.38

Step by Step Solution

1. Step 1: Write the proportion equation
   185.38 : 298.38 = 298.38 : x
2. Step 2: Convert to fraction form
   185.38/298.38 = 298.38/x
3. Step 3: Cross multiply
   185.38x = 298.38 × 298.38
4. Step 4: Simplify right side
   185.38x = 89,027.64
5. Step 5: Solve for x
   x = 89,027.64/185.38
6. Step 6: Final answer
   x = 480.26