Finding the Third Proportional to 144,810 and 209,142

Step by Step Solution

1. Step 1: Write the proportion equation
   144,810 : 209,142 = 209,142 : x
2. Step 2: Convert to fraction form
   144,810/209,142 = 209,142/x
3. Step 3: Cross multiply
   144,810x = 209,142 × 209,142
4. Step 4: Simplify right side
   144,810x = 43,740,376,164
5. Step 5: Solve for x
   x = 43,740,376,164/144,810
6. Step 6: Final answer
   x = 302,053.56