Finding the Third Proportional to 325,865 and 492,078

Step by Step Solution

1. Step 1: Write the proportion equation
   325,865 : 492,078 = 492,078 : x
2. Step 2: Convert to fraction form
   325,865/492,078 = 492,078/x
3. Step 3: Cross multiply
   325,865x = 492,078 × 492,078
4. Step 4: Simplify right side
   325,865x = 242,140,758,084
5. Step 5: Solve for x
   x = 242,140,758,084/325,865
6. Step 6: Final answer
   x = 743,070.77