Finding the Third Proportional to 589.78 and 913.78

Step by Step Solution

1. Step 1: Write the proportion equation
   589.78 : 913.78 = 913.78 : x
2. Step 2: Convert to fraction form
   589.78/913.78 = 913.78/x
3. Step 3: Cross multiply
   589.78x = 913.78 × 913.78
4. Step 4: Simplify right side
   589.78x = 834,996.17
5. Step 5: Solve for x
   x = 834,996.17/589.78
6. Step 6: Final answer
   x = 1,415.77