Finding the Third Proportional to 126.56 and 259.06

Step by Step Solution

1. Step 1: Write the proportion equation
   126.56 : 259.06 = 259.06 : x
2. Step 2: Convert to fraction form
   126.56/259.06 = 259.06/x
3. Step 3: Cross multiply
   126.56x = 259.06 × 259.06
4. Step 4: Simplify right side
   126.56x = 67,113.38
5. Step 5: Solve for x
   x = 67,113.38/126.56
6. Step 6: Final answer
   x = 530.28