Finding the Third Proportional to 223.59 and 485.72

Step by Step Solution

1. Step 1: Write the proportion equation
   223.59 : 485.72 = 485.72 : x
2. Step 2: Convert to fraction form
   223.59/485.72 = 485.72/x
3. Step 3: Cross multiply
   223.59x = 485.72 × 485.72
4. Step 4: Simplify right side
   223.59x = 235,922.70
5. Step 5: Solve for x
   x = 235,922.70/223.59
6. Step 6: Final answer
   x = 1,055.14