Finding the Third Proportional to 325,877 and 492,096

Step by Step Solution

1. Step 1: Write the proportion equation
   325,877 : 492,096 = 492,096 : x
2. Step 2: Convert to fraction form
   325,877/492,096 = 492,096/x
3. Step 3: Cross multiply
   325,877x = 492,096 × 492,096
4. Step 4: Simplify right side
   325,877x = 242,158,473,216
5. Step 5: Solve for x
   x = 242,158,473,216/325,877
6. Step 6: Final answer
   x = 743,097.77