Finding the Third Proportional to 362.81 and 556.56

Step by Step Solution

1. Step 1: Write the proportion equation
   362.81 : 556.56 = 556.56 : x
2. Step 2: Convert to fraction form
   362.81/556.56 = 556.56/x
3. Step 3: Cross multiply
   362.81x = 556.56 × 556.56
4. Step 4: Simplify right side
   362.81x = 309,757.47
5. Step 5: Solve for x
   x = 309,757.47/362.81
6. Step 6: Final answer
   x = 853.77