Finding the Third Proportional to 1,200,378 and 1,840,533

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200,378 : 1,840,533 = 1,840,533 : x
2. Step 2: Convert to fraction form
   1,200,378/1,840,533 = 1,840,533/x
3. Step 3: Cross multiply
   1,200,378x = 1,840,533 × 1,840,533
4. Step 4: Simplify right side
   1,200,378x = 3,387,561,724,089
5. Step 5: Solve for x
   x = 3,387,561,724,089/1,200,378
6. Step 6: Final answer
   x = 2,822,079.15