Finding the Third Proportional to 166,467 and 364,077

Step by Step Solution

1. Step 1: Write the proportion equation
   166,467 : 364,077 = 364,077 : x
2. Step 2: Convert to fraction form
   166,467/364,077 = 364,077/x
3. Step 3: Cross multiply
   166,467x = 364,077 × 364,077
4. Step 4: Simplify right side
   166,467x = 132,552,061,929
5. Step 5: Solve for x
   x = 132,552,061,929/166,467
6. Step 6: Final answer
   x = 796,266.30