Finding the Third Proportional to 166,309 and 364,826

Step by Step Solution

1. Step 1: Write the proportion equation
   166,309 : 364,826 = 364,826 : x
2. Step 2: Convert to fraction form
   166,309/364,826 = 364,826/x
3. Step 3: Cross multiply
   166,309x = 364,826 × 364,826
4. Step 4: Simplify right side
   166,309x = 133,098,010,276
5. Step 5: Solve for x
   x = 133,098,010,276/166,309
6. Step 6: Final answer
   x = 800,305.52