Finding the Third Proportional to 329,024 and 683,884

Step by Step Solution

1. Step 1: Write the proportion equation
   329,024 : 683,884 = 683,884 : x
2. Step 2: Convert to fraction form
   329,024/683,884 = 683,884/x
3. Step 3: Cross multiply
   329,024x = 683,884 × 683,884
4. Step 4: Simplify right side
   329,024x = 467,697,325,456
5. Step 5: Solve for x
   x = 467,697,325,456/329,024
6. Step 6: Final answer
   x = 1,421,468.72