Finding the Third Proportional to 402,077 and 884,116

Step by Step Solution

1. Step 1: Write the proportion equation
   402,077 : 884,116 = 884,116 : x
2. Step 2: Convert to fraction form
   402,077/884,116 = 884,116/x
3. Step 3: Cross multiply
   402,077x = 884,116 × 884,116
4. Step 4: Simplify right side
   402,077x = 781,661,101,456
5. Step 5: Solve for x
   x = 781,661,101,456/402,077
6. Step 6: Final answer
   x = 1,944,058.23