Finding the Third Proportional to 500,418 and 776,016

Step by Step Solution

1. Step 1: Write the proportion equation
   500,418 : 776,016 = 776,016 : x
2. Step 2: Convert to fraction form
   500,418/776,016 = 776,016/x
3. Step 3: Cross multiply
   500,418x = 776,016 × 776,016
4. Step 4: Simplify right side
   500,418x = 602,200,832,256
5. Step 5: Solve for x
   x = 602,200,832,256/500,418
6. Step 6: Final answer
   x = 1,203,395.63