Finding the Third Proportional to 583.45 and 978.96

Step by Step Solution

1. Step 1: Write the proportion equation
   583.45 : 978.96 = 978.96 : x
2. Step 2: Convert to fraction form
   583.45/978.96 = 978.96/x
3. Step 3: Cross multiply
   583.45x = 978.96 × 978.96
4. Step 4: Simplify right side
   583.45x = 958,364.52
5. Step 5: Solve for x
   x = 958,364.52/583.45
6. Step 6: Final answer
   x = 1,642.57