Finding the Third Proportional to 496,638 and 760,968

Step by Step Solution

1. Step 1: Write the proportion equation
   496,638 : 760,968 = 760,968 : x
2. Step 2: Convert to fraction form
   496,638/760,968 = 760,968/x
3. Step 3: Cross multiply
   496,638x = 760,968 × 760,968
4. Step 4: Simplify right side
   496,638x = 579,072,297,024
5. Step 5: Solve for x
   x = 579,072,297,024/496,638
6. Step 6: Final answer
   x = 1,165,984.68