Finding the Third Proportional to 369.56 and 565.31

Step by Step Solution

1. Step 1: Write the proportion equation
   369.56 : 565.31 = 565.31 : x
2. Step 2: Convert to fraction form
   369.56/565.31 = 565.31/x
3. Step 3: Cross multiply
   369.56x = 565.31 × 565.31
4. Step 4: Simplify right side
   369.56x = 319,578.22
5. Step 5: Solve for x
   x = 319,578.22/369.56
6. Step 6: Final answer
   x = 864.75