Finding the Third Proportional to 414,634.50 and 871,047

Step by Step Solution

1. Step 1: Write the proportion equation
   414,634.50 : 871,047 = 871,047 : x
2. Step 2: Convert to fraction form
   414,634.50/871,047 = 871,047/x
3. Step 3: Cross multiply
   414,634.50x = 871,047 × 871,047
4. Step 4: Simplify right side
   414,634.50x = 758,722,876,209
5. Step 5: Solve for x
   x = 758,722,876,209/414,634.50
6. Step 6: Final answer
   x = 1,829,859.49