Finding the Third Proportional to 663.75 and 1,224.56

Step by Step Solution

1. Step 1: Write the proportion equation
   663.75 : 1,224.56 = 1,224.56 : x
2. Step 2: Convert to fraction form
   663.75/1,224.56 = 1,224.56/x
3. Step 3: Cross multiply
   663.75x = 1,224.56 × 1,224.56
4. Step 4: Simplify right side
   663.75x = 1,499,553.32
5. Step 5: Solve for x
   x = 1,499,553.32/663.75
6. Step 6: Final answer
   x = 2,259.21