Finding the Third Proportional to 365.56 and 561.88

Step by Step Solution

1. Step 1: Write the proportion equation
   365.56 : 561.88 = 561.88 : x
2. Step 2: Convert to fraction form
   365.56/561.88 = 561.88/x
3. Step 3: Cross multiply
   365.56x = 561.88 × 561.88
4. Step 4: Simplify right side
   365.56x = 315,703.52
5. Step 5: Solve for x
   x = 315,703.52/365.56
6. Step 6: Final answer
   x = 863.61