Finding the Third Proportional to 311,722 and 681,760

Step by Step Solution

1. Step 1: Write the proportion equation
   311,722 : 681,760 = 681,760 : x
2. Step 2: Convert to fraction form
   311,722/681,760 = 681,760/x
3. Step 3: Cross multiply
   311,722x = 681,760 × 681,760
4. Step 4: Simplify right side
   311,722x = 464,796,697,600
5. Step 5: Solve for x
   x = 464,796,697,600/311,722
6. Step 6: Final answer
   x = 1,491,061.58