Finding the Third Proportional to 375.75 and 570.56

Step by Step Solution

1. Step 1: Write the proportion equation
   375.75 : 570.56 = 570.56 : x
2. Step 2: Convert to fraction form
   375.75/570.56 = 570.56/x
3. Step 3: Cross multiply
   375.75x = 570.56 × 570.56
4. Step 4: Simplify right side
   375.75x = 325,541.57
5. Step 5: Solve for x
   x = 325,541.57/375.75
6. Step 6: Final answer
   x = 866.38