Finding the Third Proportional to 311,248 and 683,456

Step by Step Solution

1. Step 1: Write the proportion equation
   311,248 : 683,456 = 683,456 : x
2. Step 2: Convert to fraction form
   311,248/683,456 = 683,456/x
3. Step 3: Cross multiply
   311,248x = 683,456 × 683,456
4. Step 4: Simplify right side
   311,248x = 467,112,103,936
5. Step 5: Solve for x
   x = 467,112,103,936/311,248
6. Step 6: Final answer
   x = 1,500,771.42