Finding the Third Proportional to 166,740 and 365,105

Step by Step Solution

1. Step 1: Write the proportion equation
   166,740 : 365,105 = 365,105 : x
2. Step 2: Convert to fraction form
   166,740/365,105 = 365,105/x
3. Step 3: Cross multiply
   166,740x = 365,105 × 365,105
4. Step 4: Simplify right side
   166,740x = 133,301,661,025
5. Step 5: Solve for x
   x = 133,301,661,025/166,740
6. Step 6: Final answer
   x = 799,458.20