Finding the Third Proportional to 390.56 and 567.56

Step by Step Solution

1. Step 1: Write the proportion equation
   390.56 : 567.56 = 567.56 : x
2. Step 2: Convert to fraction form
   390.56/567.56 = 567.56/x
3. Step 3: Cross multiply
   390.56x = 567.56 × 567.56
4. Step 4: Simplify right side
   390.56x = 322,127.19
5. Step 5: Solve for x
   x = 322,127.19/390.56
6. Step 6: Final answer
   x = 824.78