Finding the Third Proportional to 414,648 and 871,072

Step by Step Solution

1. Step 1: Write the proportion equation
   414,648 : 871,072 = 871,072 : x
2. Step 2: Convert to fraction form
   414,648/871,072 = 871,072/x
3. Step 3: Cross multiply
   414,648x = 871,072 × 871,072
4. Step 4: Simplify right side
   414,648x = 758,766,429,184
5. Step 5: Solve for x
   x = 758,766,429,184/414,648
6. Step 6: Final answer
   x = 1,829,904.95