Finding the Third Proportional to 2,413,506 and 3,578,514

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413,506 : 3,578,514 = 3,578,514 : x
2. Step 2: Convert to fraction form
   2,413,506/3,578,514 = 3,578,514/x
3. Step 3: Cross multiply
   2,413,506x = 3,578,514 × 3,578,514
4. Step 4: Simplify right side
   2,413,506x = 12,805,762,448,196
5. Step 5: Solve for x
   x = 12,805,762,448,196/2,413,506
6. Step 6: Final answer
   x = 5,305,875.54