Finding the Third Proportional to 366.56 and 547.86

Step by Step Solution

1. Step 1: Write the proportion equation
   366.56 : 547.86 = 547.86 : x
2. Step 2: Convert to fraction form
   366.56/547.86 = 547.86/x
3. Step 3: Cross multiply
   366.56x = 547.86 × 547.86
4. Step 4: Simplify right side
   366.56x = 300,147.75
5. Step 5: Solve for x
   x = 300,147.75/366.56
6. Step 6: Final answer
   x = 818.83