Finding the Third Proportional to 1,002.23 and 1,224.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.23 : 1,224.42 = 1,224.42 : x
2. Step 2: Convert to fraction form
   1,002.23/1,224.42 = 1,224.42/x
3. Step 3: Cross multiply
   1,002.23x = 1,224.42 × 1,224.42
4. Step 4: Simplify right side
   1,002.23x = 1,499,208.93
5. Step 5: Solve for x
   x = 1,499,208.93/1,002.23
6. Step 6: Final answer
   x = 1,495.87