Finding the Third Proportional to 144,114 and 230,223

Step by Step Solution

1. Step 1: Write the proportion equation
   144,114 : 230,223 = 230,223 : x
2. Step 2: Convert to fraction form
   144,114/230,223 = 230,223/x
3. Step 3: Cross multiply
   144,114x = 230,223 × 230,223
4. Step 4: Simplify right side
   144,114x = 53,002,629,729
5. Step 5: Solve for x
   x = 53,002,629,729/144,114
6. Step 6: Final answer
   x = 367,782.66