Finding the Third Proportional to 407,972 and 872,078

Step by Step Solution

1. Step 1: Write the proportion equation
   407,972 : 872,078 = 872,078 : x
2. Step 2: Convert to fraction form
   407,972/872,078 = 872,078/x
3. Step 3: Cross multiply
   407,972x = 872,078 × 872,078
4. Step 4: Simplify right side
   407,972x = 760,520,038,084
5. Step 5: Solve for x
   x = 760,520,038,084/407,972
6. Step 6: Final answer
   x = 1,864,147.63