Finding the Third Proportional to 412.80 and 844.59

Step by Step Solution

1. Step 1: Write the proportion equation
   412.80 : 844.59 = 844.59 : x
2. Step 2: Convert to fraction form
   412.80/844.59 = 844.59/x
3. Step 3: Cross multiply
   412.80x = 844.59 × 844.59
4. Step 4: Simplify right side
   412.80x = 713,338.60
5. Step 5: Solve for x
   x = 713,338.60/412.80
6. Step 6: Final answer
   x = 1,728.03