Finding the Third Proportional to 1,305,180 and 1,838,016

Step by Step Solution

1. Step 1: Write the proportion equation
   1,305,180 : 1,838,016 = 1,838,016 : x
2. Step 2: Convert to fraction form
   1,305,180/1,838,016 = 1,838,016/x
3. Step 3: Cross multiply
   1,305,180x = 1,838,016 × 1,838,016
4. Step 4: Simplify right side
   1,305,180x = 3,378,302,816,256
5. Step 5: Solve for x
   x = 3,378,302,816,256/1,305,180
6. Step 6: Final answer
   x = 2,588,380.77