Finding the Third Proportional to 644.02 and 874.83

Step by Step Solution

1. Step 1: Write the proportion equation
   644.02 : 874.83 = 874.83 : x
2. Step 2: Convert to fraction form
   644.02/874.83 = 874.83/x
3. Step 3: Cross multiply
   644.02x = 874.83 × 874.83
4. Step 4: Simplify right side
   644.02x = 765,324.25
5. Step 5: Solve for x
   x = 765,324.25/644.02
6. Step 6: Final answer
   x = 1,188.36