Finding the Third Proportional to 164,766 and 262,807

Step by Step Solution

1. Step 1: Write the proportion equation
   164,766 : 262,807 = 262,807 : x
2. Step 2: Convert to fraction form
   164,766/262,807 = 262,807/x
3. Step 3: Cross multiply
   164,766x = 262,807 × 262,807
4. Step 4: Simplify right side
   164,766x = 69,067,519,249
5. Step 5: Solve for x
   x = 69,067,519,249/164,766
6. Step 6: Final answer
   x = 419,185.51