Finding the Third Proportional to 819,842 and 1,781,524

Step by Step Solution

1. Step 1: Write the proportion equation
   819,842 : 1,781,524 = 1,781,524 : x
2. Step 2: Convert to fraction form
   819,842/1,781,524 = 1,781,524/x
3. Step 3: Cross multiply
   819,842x = 1,781,524 × 1,781,524
4. Step 4: Simplify right side
   819,842x = 3,173,827,762,576
5. Step 5: Solve for x
   x = 3,173,827,762,576/819,842
6. Step 6: Final answer
   x = 3,871,267.59