Finding the Third Proportional to 321,968 and 699,256

Step by Step Solution

1. Step 1: Write the proportion equation
   321,968 : 699,256 = 699,256 : x
2. Step 2: Convert to fraction form
   321,968/699,256 = 699,256/x
3. Step 3: Cross multiply
   321,968x = 699,256 × 699,256
4. Step 4: Simplify right side
   321,968x = 488,958,953,536
5. Step 5: Solve for x
   x = 488,958,953,536/321,968
6. Step 6: Final answer
   x = 1,518,656.99