Finding the Third Proportional to 1,409,694 and 2,269,821

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409,694 : 2,269,821 = 2,269,821 : x
2. Step 2: Convert to fraction form
   1,409,694/2,269,821 = 2,269,821/x
3. Step 3: Cross multiply
   1,409,694x = 2,269,821 × 2,269,821
4. Step 4: Simplify right side
   1,409,694x = 5,152,087,372,041
5. Step 5: Solve for x
   x = 5,152,087,372,041/1,409,694
6. Step 6: Final answer
   x = 3,654,755.83