Finding the Third Proportional to 123.66 and 264.47

Step by Step Solution

1. Step 1: Write the proportion equation
   123.66 : 264.47 = 264.47 : x
2. Step 2: Convert to fraction form
   123.66/264.47 = 264.47/x
3. Step 3: Cross multiply
   123.66x = 264.47 × 264.47
4. Step 4: Simplify right side
   123.66x = 69,943.72
5. Step 5: Solve for x
   x = 69,943.72/123.66
6. Step 6: Final answer
   x = 565.63