Finding the Third Proportional to 326,164 and 518,892

Step by Step Solution

1. Step 1: Write the proportion equation
   326,164 : 518,892 = 518,892 : x
2. Step 2: Convert to fraction form
   326,164/518,892 = 518,892/x
3. Step 3: Cross multiply
   326,164x = 518,892 × 518,892
4. Step 4: Simplify right side
   326,164x = 269,248,907,664
5. Step 5: Solve for x
   x = 269,248,907,664/326,164
6. Step 6: Final answer
   x = 825,501.61