Finding the Third Proportional to 414,832 and 910,016

Step by Step Solution

1. Step 1: Write the proportion equation
   414,832 : 910,016 = 910,016 : x
2. Step 2: Convert to fraction form
   414,832/910,016 = 910,016/x
3. Step 3: Cross multiply
   414,832x = 910,016 × 910,016
4. Step 4: Simplify right side
   414,832x = 828,129,120,256
5. Step 5: Solve for x
   x = 828,129,120,256/414,832
6. Step 6: Final answer
   x = 1,996,300.00