Finding the Third Proportional to 1,204.56 and 1,419.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.56 : 1,419.56 = 1,419.56 : x
2. Step 2: Convert to fraction form
   1,204.56/1,419.56 = 1,419.56/x
3. Step 3: Cross multiply
   1,204.56x = 1,419.56 × 1,419.56
4. Step 4: Simplify right side
   1,204.56x = 2,015,141.06
5. Step 5: Solve for x
   x = 2,015,141.06/1,204.56
6. Step 6: Final answer
   x = 1,672.93