Finding the Third Proportional to 383,978 and 837,832

Step by Step Solution

1. Step 1: Write the proportion equation
   383,978 : 837,832 = 837,832 : x
2. Step 2: Convert to fraction form
   383,978/837,832 = 837,832/x
3. Step 3: Cross multiply
   383,978x = 837,832 × 837,832
4. Step 4: Simplify right side
   383,978x = 701,962,460,224
5. Step 5: Solve for x
   x = 701,962,460,224/383,978
6. Step 6: Final answer
   x = 1,828,131.98