Finding the Third Proportional to 125.69 and 266.88

Step by Step Solution

1. Step 1: Write the proportion equation
   125.69 : 266.88 = 266.88 : x
2. Step 2: Convert to fraction form
   125.69/266.88 = 266.88/x
3. Step 3: Cross multiply
   125.69x = 266.88 × 266.88
4. Step 4: Simplify right side
   125.69x = 71,222.27
5. Step 5: Solve for x
   x = 71,222.27/125.69
6. Step 6: Final answer
   x = 566.66