Finding the Third Proportional to 385.30 and 580.55

Step by Step Solution

1. Step 1: Write the proportion equation
   385.30 : 580.55 = 580.55 : x
2. Step 2: Convert to fraction form
   385.30/580.55 = 580.55/x
3. Step 3: Cross multiply
   385.30x = 580.55 × 580.55
4. Step 4: Simplify right side
   385.30x = 337,041.48
5. Step 5: Solve for x
   x = 337,041.48/385.30
6. Step 6: Final answer
   x = 874.74