Finding the Third Proportional to 95,886 and 204,072

Step by Step Solution

1. Step 1: Write the proportion equation
   95,886 : 204,072 = 204,072 : x
2. Step 2: Convert to fraction form
   95,886/204,072 = 204,072/x
3. Step 3: Cross multiply
   95,886x = 204,072 × 204,072
4. Step 4: Simplify right side
   95,886x = 41,645,381,184
5. Step 5: Solve for x
   x = 41,645,381,184/95,886
6. Step 6: Final answer
   x = 434,321.81