Finding the Third Proportional to 144,880 and 230,520

Step by Step Solution

1. Step 1: Write the proportion equation
   144,880 : 230,520 = 230,520 : x
2. Step 2: Convert to fraction form
   144,880/230,520 = 230,520/x
3. Step 3: Cross multiply
   144,880x = 230,520 × 230,520
4. Step 4: Simplify right side
   144,880x = 53,139,470,400
5. Step 5: Solve for x
   x = 53,139,470,400/144,880
6. Step 6: Final answer
   x = 366,782.65