Finding the Third Proportional to 298.37 and 400.89

Step by Step Solution

1. Step 1: Write the proportion equation
   298.37 : 400.89 = 400.89 : x
2. Step 2: Convert to fraction form
   298.37/400.89 = 400.89/x
3. Step 3: Cross multiply
   298.37x = 400.89 × 400.89
4. Step 4: Simplify right side
   298.37x = 160,710.16
5. Step 5: Solve for x
   x = 160,710.16/298.37
6. Step 6: Final answer
   x = 538.63