Finding the Third Proportional to 266.59 and 554.46

Step by Step Solution

1. Step 1: Write the proportion equation
   266.59 : 554.46 = 554.46 : x
2. Step 2: Convert to fraction form
   266.59/554.46 = 554.46/x
3. Step 3: Cross multiply
   266.59x = 554.46 × 554.46
4. Step 4: Simplify right side
   266.59x = 307,429.07
5. Step 5: Solve for x
   x = 307,429.07/266.59
6. Step 6: Final answer
   x = 1,153.20