Finding the Third Proportional to 144,514 and 230,140

Step by Step Solution

1. Step 1: Write the proportion equation
   144,514 : 230,140 = 230,140 : x
2. Step 2: Convert to fraction form
   144,514/230,140 = 230,140/x
3. Step 3: Cross multiply
   144,514x = 230,140 × 230,140
4. Step 4: Simplify right side
   144,514x = 52,964,419,600
5. Step 5: Solve for x
   x = 52,964,419,600/144,514
6. Step 6: Final answer
   x = 366,500.27