Finding the Third Proportional to 384.94 and 583.59

Step by Step Solution

1. Step 1: Write the proportion equation
   384.94 : 583.59 = 583.59 : x
2. Step 2: Convert to fraction form
   384.94/583.59 = 583.59/x
3. Step 3: Cross multiply
   384.94x = 583.59 × 583.59
4. Step 4: Simplify right side
   384.94x = 340,581.67
5. Step 5: Solve for x
   x = 340,581.67/384.94
6. Step 6: Final answer
   x = 884.77