Finding the Third Proportional to 657.94 and 1,018.78

Step by Step Solution

1. Step 1: Write the proportion equation
   657.94 : 1,018.78 = 1,018.78 : x
2. Step 2: Convert to fraction form
   657.94/1,018.78 = 1,018.78/x
3. Step 3: Cross multiply
   657.94x = 1,018.78 × 1,018.78
4. Step 4: Simplify right side
   657.94x = 1,037,915.24
5. Step 5: Solve for x
   x = 1,037,915.24/657.94
6. Step 6: Final answer
   x = 1,577.53