Finding the Third Proportional to 359.16 and 556.22

Step by Step Solution

1. Step 1: Write the proportion equation
   359.16 : 556.22 = 556.22 : x
2. Step 2: Convert to fraction form
   359.16/556.22 = 556.22/x
3. Step 3: Cross multiply
   359.16x = 556.22 × 556.22
4. Step 4: Simplify right side
   359.16x = 309,379.30
5. Step 5: Solve for x
   x = 309,379.30/359.16
6. Step 6: Final answer
   x = 861.41