Finding the Third Proportional to 519,468 and 812,004

Step by Step Solution

1. Step 1: Write the proportion equation
   519,468 : 812,004 = 812,004 : x
2. Step 2: Convert to fraction form
   519,468/812,004 = 812,004/x
3. Step 3: Cross multiply
   519,468x = 812,004 × 812,004
4. Step 4: Simplify right side
   519,468x = 659,350,496,016
5. Step 5: Solve for x
   x = 659,350,496,016/519,468
6. Step 6: Final answer
   x = 1,269,280.29