Finding the Third Proportional to 587.75 and 978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   587.75 : 978.88 = 978.88 : x
2. Step 2: Convert to fraction form
   587.75/978.88 = 978.88/x
3. Step 3: Cross multiply
   587.75x = 978.88 × 978.88
4. Step 4: Simplify right side
   587.75x = 958,196.27
5. Step 5: Solve for x
   x = 958,196.27/587.75
6. Step 6: Final answer
   x = 1,630.28