Finding the Third Proportional to 827,024 and 1,780,760

Step by Step Solution

1. Step 1: Write the proportion equation
   827,024 : 1,780,760 = 1,780,760 : x
2. Step 2: Convert to fraction form
   827,024/1,780,760 = 1,780,760/x
3. Step 3: Cross multiply
   827,024x = 1,780,760 × 1,780,760
4. Step 4: Simplify right side
   827,024x = 3,171,106,177,600
5. Step 5: Solve for x
   x = 3,171,106,177,600/827,024
6. Step 6: Final answer
   x = 3,834,358.11