Finding the Third Proportional to 126.56 and 314.30

Step by Step Solution

1. Step 1: Write the proportion equation
   126.56 : 314.30 = 314.30 : x
2. Step 2: Convert to fraction form
   126.56/314.30 = 314.30/x
3. Step 3: Cross multiply
   126.56x = 314.30 × 314.30
4. Step 4: Simplify right side
   126.56x = 98,782.53
5. Step 5: Solve for x
   x = 98,782.53/126.56
6. Step 6: Final answer
   x = 780.50