Finding the Third Proportional to 372.38 and 578.81

Step by Step Solution

1. Step 1: Write the proportion equation
   372.38 : 578.81 = 578.81 : x
2. Step 2: Convert to fraction form
   372.38/578.81 = 578.81/x
3. Step 3: Cross multiply
   372.38x = 578.81 × 578.81
4. Step 4: Simplify right side
   372.38x = 335,023.91
5. Step 5: Solve for x
   x = 335,023.91/372.38
6. Step 6: Final answer
   x = 899.69