Finding the Third Proportional to 126.56 and 299.32

Step by Step Solution

1. Step 1: Write the proportion equation
   126.56 : 299.32 = 299.32 : x
2. Step 2: Convert to fraction form
   126.56/299.32 = 299.32/x
3. Step 3: Cross multiply
   126.56x = 299.32 × 299.32
4. Step 4: Simplify right side
   126.56x = 89,592.65
5. Step 5: Solve for x
   x = 89,592.65/126.56
6. Step 6: Final answer
   x = 707.89