Finding the Third Proportional to 414,644 and 871,064

Step by Step Solution

1. Step 1: Write the proportion equation
   414,644 : 871,064 = 871,064 : x
2. Step 2: Convert to fraction form
   414,644/871,064 = 871,064/x
3. Step 3: Cross multiply
   414,644x = 871,064 × 871,064
4. Step 4: Simplify right side
   414,644x = 758,752,492,096
5. Step 5: Solve for x
   x = 758,752,492,096/414,644
6. Step 6: Final answer
   x = 1,829,888.99