Finding the Third Proportional to 512.58 and 1,104.89

Step by Step Solution

1. Step 1: Write the proportion equation
   512.58 : 1,104.89 = 1,104.89 : x
2. Step 2: Convert to fraction form
   512.58/1,104.89 = 1,104.89/x
3. Step 3: Cross multiply
   512.58x = 1,104.89 × 1,104.89
4. Step 4: Simplify right side
   512.58x = 1,220,783.29
5. Step 5: Solve for x
   x = 1,220,783.29/512.58
6. Step 6: Final answer
   x = 2,381.65