Finding the Third Proportional to 385.50 and 581.25

Step by Step Solution

1. Step 1: Write the proportion equation
   385.50 : 581.25 = 581.25 : x
2. Step 2: Convert to fraction form
   385.50/581.25 = 581.25/x
3. Step 3: Cross multiply
   385.50x = 581.25 × 581.25
4. Step 4: Simplify right side
   385.50x = 337,851.56
5. Step 5: Solve for x
   x = 337,851.56/385.50
6. Step 6: Final answer
   x = 876.40