Finding the Third Proportional to 517,012 and 776,064

Step by Step Solution

1. Step 1: Write the proportion equation
   517,012 : 776,064 = 776,064 : x
2. Step 2: Convert to fraction form
   517,012/776,064 = 776,064/x
3. Step 3: Cross multiply
   517,012x = 776,064 × 776,064
4. Step 4: Simplify right side
   517,012x = 602,275,332,096
5. Step 5: Solve for x
   x = 602,275,332,096/517,012
6. Step 6: Final answer
   x = 1,164,915.58