Finding the Third Proportional to 166,462 and 364,066

Step by Step Solution

1. Step 1: Write the proportion equation
   166,462 : 364,066 = 364,066 : x
2. Step 2: Convert to fraction form
   166,462/364,066 = 364,066/x
3. Step 3: Cross multiply
   166,462x = 364,066 × 364,066
4. Step 4: Simplify right side
   166,462x = 132,544,052,356
5. Step 5: Solve for x
   x = 132,544,052,356/166,462
6. Step 6: Final answer
   x = 796,242.10