Finding the Third Proportional to 76,760 and 166,834

Step by Step Solution

1. Step 1: Write the proportion equation
   76,760 : 166,834 = 166,834 : x
2. Step 2: Convert to fraction form
   76,760/166,834 = 166,834/x
3. Step 3: Cross multiply
   76,760x = 166,834 × 166,834
4. Step 4: Simplify right side
   76,760x = 27,833,583,556
5. Step 5: Solve for x
   x = 27,833,583,556/76,760
6. Step 6: Final answer
   x = 362,605.31