Finding the Third Proportional to 123.88 and 266.38

Step by Step Solution

1. Step 1: Write the proportion equation
   123.88 : 266.38 = 266.38 : x
2. Step 2: Convert to fraction form
   123.88/266.38 = 266.38/x
3. Step 3: Cross multiply
   123.88x = 266.38 × 266.38
4. Step 4: Simplify right side
   123.88x = 70,955.64
5. Step 5: Solve for x
   x = 70,955.64/123.88
6. Step 6: Final answer
   x = 572.80