Finding the Third Proportional to 76,208 and 166,945

Step by Step Solution

1. Step 1: Write the proportion equation
   76,208 : 166,945 = 166,945 : x
2. Step 2: Convert to fraction form
   76,208/166,945 = 166,945/x
3. Step 3: Cross multiply
   76,208x = 166,945 × 166,945
4. Step 4: Simplify right side
   76,208x = 27,870,633,025
5. Step 5: Solve for x
   x = 27,870,633,025/76,208
6. Step 6: Final answer
   x = 365,717.94