Finding the Third Proportional to 144,674 and 230,215

Step by Step Solution

1. Step 1: Write the proportion equation
   144,674 : 230,215 = 230,215 : x
2. Step 2: Convert to fraction form
   144,674/230,215 = 230,215/x
3. Step 3: Cross multiply
   144,674x = 230,215 × 230,215
4. Step 4: Simplify right side
   144,674x = 52,998,946,225
5. Step 5: Solve for x
   x = 52,998,946,225/144,674
6. Step 6: Final answer
   x = 366,333.59