Finding the Third Proportional to 166,744 and 365,111

Step by Step Solution

1. Step 1: Write the proportion equation
   166,744 : 365,111 = 365,111 : x
2. Step 2: Convert to fraction form
   166,744/365,111 = 365,111/x
3. Step 3: Cross multiply
   166,744x = 365,111 × 365,111
4. Step 4: Simplify right side
   166,744x = 133,306,042,321
5. Step 5: Solve for x
   x = 133,306,042,321/166,744
6. Step 6: Final answer
   x = 799,465.30