Finding the Third Proportional to 477.98 and 561.09

Step by Step Solution

1. Step 1: Write the proportion equation
   477.98 : 561.09 = 561.09 : x
2. Step 2: Convert to fraction form
   477.98/561.09 = 561.09/x
3. Step 3: Cross multiply
   477.98x = 561.09 × 561.09
4. Step 4: Simplify right side
   477.98x = 314,826.20
5. Step 5: Solve for x
   x = 314,826.20/477.98
6. Step 6: Final answer
   x = 658.65