Finding the Third Proportional to 123.38 and 259.13

Step by Step Solution

1. Step 1: Write the proportion equation
   123.38 : 259.13 = 259.13 : x
2. Step 2: Convert to fraction form
   123.38/259.13 = 259.13/x
3. Step 3: Cross multiply
   123.38x = 259.13 × 259.13
4. Step 4: Simplify right side
   123.38x = 67,145.77
5. Step 5: Solve for x
   x = 67,145.77/123.38
6. Step 6: Final answer
   x = 544.24