Finding the Third Proportional to 370.83 and 578.71

Step by Step Solution

1. Step 1: Write the proportion equation
   370.83 : 578.71 = 578.71 : x
2. Step 2: Convert to fraction form
   370.83/578.71 = 578.71/x
3. Step 3: Cross multiply
   370.83x = 578.71 × 578.71
4. Step 4: Simplify right side
   370.83x = 334,901.83
5. Step 5: Solve for x
   x = 334,901.83/370.83
6. Step 6: Final answer
   x = 903.12