Finding the Third Proportional to 123.81 and 270.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123.81 : 270.69 = 270.69 : x
2. Step 2: Convert to fraction form
   123.81/270.69 = 270.69/x
3. Step 3: Cross multiply
   123.81x = 270.69 × 270.69
4. Step 4: Simplify right side
   123.81x = 73,271.72
5. Step 5: Solve for x
   x = 73,271.72/123.81
6. Step 6: Final answer
   x = 591.80