Finding the Third Proportional to 1,214,180 and 1,781,904

Step by Step Solution

1. Step 1: Write the proportion equation
   1,214,180 : 1,781,904 = 1,781,904 : x
2. Step 2: Convert to fraction form
   1,214,180/1,781,904 = 1,781,904/x
3. Step 3: Cross multiply
   1,214,180x = 1,781,904 × 1,781,904
4. Step 4: Simplify right side
   1,214,180x = 3,175,181,865,216
5. Step 5: Solve for x
   x = 3,175,181,865,216/1,214,180
6. Step 6: Final answer
   x = 2,615,083.32