Finding the Third Proportional to 434,146 and 679,016

Step by Step Solution

1. Step 1: Write the proportion equation
   434,146 : 679,016 = 679,016 : x
2. Step 2: Convert to fraction form
   434,146/679,016 = 679,016/x
3. Step 3: Cross multiply
   434,146x = 679,016 × 679,016
4. Step 4: Simplify right side
   434,146x = 461,062,728,256
5. Step 5: Solve for x
   x = 461,062,728,256/434,146
6. Step 6: Final answer
   x = 1,061,999.25