Finding the Third Proportional to 500,422 and 776,022

Step by Step Solution

1. Step 1: Write the proportion equation
   500,422 : 776,022 = 776,022 : x
2. Step 2: Convert to fraction form
   500,422/776,022 = 776,022/x
3. Step 3: Cross multiply
   500,422x = 776,022 × 776,022
4. Step 4: Simplify right side
   500,422x = 602,210,144,484
5. Step 5: Solve for x
   x = 602,210,144,484/500,422
6. Step 6: Final answer
   x = 1,203,404.62