Finding the Third Proportional to 574.59 and 913.78

Step by Step Solution

1. Step 1: Write the proportion equation
   574.59 : 913.78 = 913.78 : x
2. Step 2: Convert to fraction form
   574.59/913.78 = 913.78/x
3. Step 3: Cross multiply
   574.59x = 913.78 × 913.78
4. Step 4: Simplify right side
   574.59x = 834,996.17
5. Step 5: Solve for x
   x = 834,996.17/574.59
6. Step 6: Final answer
   x = 1,453.19