Finding the Third Proportional to 385.50 and 557.25

Step by Step Solution

1. Step 1: Write the proportion equation
   385.50 : 557.25 = 557.25 : x
2. Step 2: Convert to fraction form
   385.50/557.25 = 557.25/x
3. Step 3: Cross multiply
   385.50x = 557.25 × 557.25
4. Step 4: Simplify right side
   385.50x = 310,527.56
5. Step 5: Solve for x
   x = 310,527.56/385.50
6. Step 6: Final answer
   x = 805.52