Finding the Third Proportional to 325,869 and 492,084

Step by Step Solution

1. Step 1: Write the proportion equation
   325,869 : 492,084 = 492,084 : x
2. Step 2: Convert to fraction form
   325,869/492,084 = 492,084/x
3. Step 3: Cross multiply
   325,869x = 492,084 × 492,084
4. Step 4: Simplify right side
   325,869x = 242,146,663,056
5. Step 5: Solve for x
   x = 242,146,663,056/325,869
6. Step 6: Final answer
   x = 743,079.77