Finding the Third Proportional to 166,665 and 364,986

Step by Step Solution

1. Step 1: Write the proportion equation
   166,665 : 364,986 = 364,986 : x
2. Step 2: Convert to fraction form
   166,665/364,986 = 364,986/x
3. Step 3: Cross multiply
   166,665x = 364,986 × 364,986
4. Step 4: Simplify right side
   166,665x = 133,214,780,196
5. Step 5: Solve for x
   x = 133,214,780,196/166,665
6. Step 6: Final answer
   x = 799,296.67