Finding the Third Proportional to 614.25 and 978.96

Step by Step Solution

1. Step 1: Write the proportion equation
   614.25 : 978.96 = 978.96 : x
2. Step 2: Convert to fraction form
   614.25/978.96 = 978.96/x
3. Step 3: Cross multiply
   614.25x = 978.96 × 978.96
4. Step 4: Simplify right side
   614.25x = 958,364.52
5. Step 5: Solve for x
   x = 958,364.52/614.25
6. Step 6: Final answer
   x = 1,560.22