Finding the Third Proportional to 166,413 and 364,504

Step by Step Solution

1. Step 1: Write the proportion equation
   166,413 : 364,504 = 364,504 : x
2. Step 2: Convert to fraction form
   166,413/364,504 = 364,504/x
3. Step 3: Cross multiply
   166,413x = 364,504 × 364,504
4. Step 4: Simplify right side
   166,413x = 132,863,166,016
5. Step 5: Solve for x
   x = 132,863,166,016/166,413
6. Step 6: Final answer
   x = 798,394.15