Finding the Third Proportional to 600.47 and 978.89

Step by Step Solution

1. Step 1: Write the proportion equation
   600.47 : 978.89 = 978.89 : x
2. Step 2: Convert to fraction form
   600.47/978.89 = 978.89/x
3. Step 3: Cross multiply
   600.47x = 978.89 × 978.89
4. Step 4: Simplify right side
   600.47x = 958,226.86
5. Step 5: Solve for x
   x = 958,226.86/600.47
6. Step 6: Final answer
   x = 1,595.80