Finding the Third Proportional to 123.19 and 264.38

Step by Step Solution

1. Step 1: Write the proportion equation
   123.19 : 264.38 = 264.38 : x
2. Step 2: Convert to fraction form
   123.19/264.38 = 264.38/x
3. Step 3: Cross multiply
   123.19x = 264.38 × 264.38
4. Step 4: Simplify right side
   123.19x = 69,894.14
5. Step 5: Solve for x
   x = 69,894.14/123.19
6. Step 6: Final answer
   x = 567.38