Finding the Third Proportional to 360,096 and 776,016

Step by Step Solution

1. Step 1: Write the proportion equation
   360,096 : 776,016 = 776,016 : x
2. Step 2: Convert to fraction form
   360,096/776,016 = 776,016/x
3. Step 3: Cross multiply
   360,096x = 776,016 × 776,016
4. Step 4: Simplify right side
   360,096x = 602,200,832,256
5. Step 5: Solve for x
   x = 602,200,832,256/360,096
6. Step 6: Final answer
   x = 1,672,334.13