Finding the Third Proportional to 823,493 and 1,784,443

Step by Step Solution

1. Step 1: Write the proportion equation
   823,493 : 1,784,443 = 1,784,443 : x
2. Step 2: Convert to fraction form
   823,493/1,784,443 = 1,784,443/x
3. Step 3: Cross multiply
   823,493x = 1,784,443 × 1,784,443
4. Step 4: Simplify right side
   823,493x = 3,184,236,820,249
5. Step 5: Solve for x
   x = 3,184,236,820,249/823,493
6. Step 6: Final answer
   x = 3,866,744.25