Finding the Third Proportional to 123.71 and 266.73

Step by Step Solution

1. Step 1: Write the proportion equation
   123.71 : 266.73 = 266.73 : x
2. Step 2: Convert to fraction form
   123.71/266.73 = 266.73/x
3. Step 3: Cross multiply
   123.71x = 266.73 × 266.73
4. Step 4: Simplify right side
   123.71x = 71,145.14
5. Step 5: Solve for x
   x = 71,145.14/123.71
6. Step 6: Final answer
   x = 575.07