Finding the Third Proportional to 1,204.56 and 1,768.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.56 : 1,768.39 = 1,768.39 : x
2. Step 2: Convert to fraction form
   1,204.56/1,768.39 = 1,768.39/x
3. Step 3: Cross multiply
   1,204.56x = 1,768.39 × 1,768.39
4. Step 4: Simplify right side
   1,204.56x = 3,127,219.22
5. Step 5: Solve for x
   x = 3,127,219.22/1,204.56
6. Step 6: Final answer
   x = 2,596.15