Finding the Third Proportional to 123.16 and 262.78

Step by Step Solution

1. Step 1: Write the proportion equation
   123.16 : 262.78 = 262.78 : x
2. Step 2: Convert to fraction form
   123.16/262.78 = 262.78/x
3. Step 3: Cross multiply
   123.16x = 262.78 × 262.78
4. Step 4: Simplify right side
   123.16x = 69,053.99
5. Step 5: Solve for x
   x = 69,053.99/123.16
6. Step 6: Final answer
   x = 560.67