Finding the Third Proportional to 269.81 and 554.72

Step by Step Solution

1. Step 1: Write the proportion equation
   269.81 : 554.72 = 554.72 : x
2. Step 2: Convert to fraction form
   269.81/554.72 = 554.72/x
3. Step 3: Cross multiply
   269.81x = 554.72 × 554.72
4. Step 4: Simplify right side
   269.81x = 307,712.89
5. Step 5: Solve for x
   x = 307,712.89/269.81
6. Step 6: Final answer
   x = 1,140.47