Finding the Third Proportional to 1,414,578 and 2,894,514

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414,578 : 2,894,514 = 2,894,514 : x
2. Step 2: Convert to fraction form
   1,414,578/2,894,514 = 2,894,514/x
3. Step 3: Cross multiply
   1,414,578x = 2,894,514 × 2,894,514
4. Step 4: Simplify right side
   1,414,578x = 8,378,211,296,196
5. Step 5: Solve for x
   x = 8,378,211,296,196/1,414,578
6. Step 6: Final answer
   x = 5,922,763.75