Finding the Third Proportional to 384.47 and 583.78

Step by Step Solution

1. Step 1: Write the proportion equation
   384.47 : 583.78 = 583.78 : x
2. Step 2: Convert to fraction form
   384.47/583.78 = 583.78/x
3. Step 3: Cross multiply
   384.47x = 583.78 × 583.78
4. Step 4: Simplify right side
   384.47x = 340,800.55
5. Step 5: Solve for x
   x = 340,800.55/384.47
6. Step 6: Final answer
   x = 886.42