Finding the Third Proportional to 123.40 and 265.94

Step by Step Solution

1. Step 1: Write the proportion equation
   123.40 : 265.94 = 265.94 : x
2. Step 2: Convert to fraction form
   123.40/265.94 = 265.94/x
3. Step 3: Cross multiply
   123.40x = 265.94 × 265.94
4. Step 4: Simplify right side
   123.40x = 70,723.79
5. Step 5: Solve for x
   x = 70,723.79/123.40
6. Step 6: Final answer
   x = 573.13