Finding the Third Proportional to 1,213,822 and 1,812,420

Step by Step Solution

1. Step 1: Write the proportion equation
   1,213,822 : 1,812,420 = 1,812,420 : x
2. Step 2: Convert to fraction form
   1,213,822/1,812,420 = 1,812,420/x
3. Step 3: Cross multiply
   1,213,822x = 1,812,420 × 1,812,420
4. Step 4: Simplify right side
   1,213,822x = 3,284,866,256,400
5. Step 5: Solve for x
   x = 3,284,866,256,400/1,213,822
6. Step 6: Final answer
   x = 2,706,217.43