Finding the Third Proportional to 456.89 and 978.96

Step by Step Solution

1. Step 1: Write the proportion equation
   456.89 : 978.96 = 978.96 : x
2. Step 2: Convert to fraction form
   456.89/978.96 = 978.96/x
3. Step 3: Cross multiply
   456.89x = 978.96 × 978.96
4. Step 4: Simplify right side
   456.89x = 958,364.52
5. Step 5: Solve for x
   x = 958,364.52/456.89
6. Step 6: Final answer
   x = 2,097.58