Finding the Third Proportional to 384.56 and 578.06

Step by Step Solution

1. Step 1: Write the proportion equation
   384.56 : 578.06 = 578.06 : x
2. Step 2: Convert to fraction form
   384.56/578.06 = 578.06/x
3. Step 3: Cross multiply
   384.56x = 578.06 × 578.06
4. Step 4: Simplify right side
   384.56x = 334,156.25
5. Step 5: Solve for x
   x = 334,156.25/384.56
6. Step 6: Final answer
   x = 868.93