Finding the Third Proportional to 76,162 and 166,904

Step by Step Solution

1. Step 1: Write the proportion equation
   76,162 : 166,904 = 166,904 : x
2. Step 2: Convert to fraction form
   76,162/166,904 = 166,904/x
3. Step 3: Cross multiply
   76,162x = 166,904 × 166,904
4. Step 4: Simplify right side
   76,162x = 27,856,945,216
5. Step 5: Solve for x
   x = 27,856,945,216/76,162
6. Step 6: Final answer
   x = 365,759.11