Finding the Third Proportional to 559.56 and 768.16

Step by Step Solution

1. Step 1: Write the proportion equation
   559.56 : 768.16 = 768.16 : x
2. Step 2: Convert to fraction form
   559.56/768.16 = 768.16/x
3. Step 3: Cross multiply
   559.56x = 768.16 × 768.16
4. Step 4: Simplify right side
   559.56x = 590,062.52
5. Step 5: Solve for x
   x = 590,062.52/559.56
6. Step 6: Final answer
   x = 1,054.50