Finding the Third Proportional to 298.50 and 447.56

Step by Step Solution

1. Step 1: Write the proportion equation
   298.50 : 447.56 = 447.56 : x
2. Step 2: Convert to fraction form
   298.50/447.56 = 447.56/x
3. Step 3: Cross multiply
   298.50x = 447.56 × 447.56
4. Step 4: Simplify right side
   298.50x = 200,312.19
5. Step 5: Solve for x
   x = 200,312.19/298.50
6. Step 6: Final answer
   x = 671.06