Finding the Third Proportional to 164,764 and 262,804

Step by Step Solution

1. Step 1: Write the proportion equation
   164,764 : 262,804 = 262,804 : x
2. Step 2: Convert to fraction form
   164,764/262,804 = 262,804/x
3. Step 3: Cross multiply
   164,764x = 262,804 × 262,804
4. Step 4: Simplify right side
   164,764x = 69,065,942,416
5. Step 5: Solve for x
   x = 69,065,942,416/164,764
6. Step 6: Final answer
   x = 419,181.03