Finding the Third Proportional to 734.25 and 978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   734.25 : 978.88 = 978.88 : x
2. Step 2: Convert to fraction form
   734.25/978.88 = 978.88/x
3. Step 3: Cross multiply
   734.25x = 978.88 × 978.88
4. Step 4: Simplify right side
   734.25x = 958,196.27
5. Step 5: Solve for x
   x = 958,196.27/734.25
6. Step 6: Final answer
   x = 1,305.00