Finding the Third Proportional to 414,663 and 871,095

Step by Step Solution

1. Step 1: Write the proportion equation
   414,663 : 871,095 = 871,095 : x
2. Step 2: Convert to fraction form
   414,663/871,095 = 871,095/x
3. Step 3: Cross multiply
   414,663x = 871,095 × 871,095
4. Step 4: Simplify right side
   414,663x = 758,806,499,025
5. Step 5: Solve for x
   x = 758,806,499,025/414,663
6. Step 6: Final answer
   x = 1,829,935.39