Finding the Third Proportional to 89,116 and 189,884

Step by Step Solution

1. Step 1: Write the proportion equation
   89,116 : 189,884 = 189,884 : x
2. Step 2: Convert to fraction form
   89,116/189,884 = 189,884/x
3. Step 3: Cross multiply
   89,116x = 189,884 × 189,884
4. Step 4: Simplify right side
   89,116x = 36,055,933,456
5. Step 5: Solve for x
   x = 36,055,933,456/89,116
6. Step 6: Final answer
   x = 404,595.51