Finding the Third Proportional to 106,834 and 166,078

Step by Step Solution

1. Step 1: Write the proportion equation
   106,834 : 166,078 = 166,078 : x
2. Step 2: Convert to fraction form
   106,834/166,078 = 166,078/x
3. Step 3: Cross multiply
   106,834x = 166,078 × 166,078
4. Step 4: Simplify right side
   106,834x = 27,581,902,084
5. Step 5: Solve for x
   x = 27,581,902,084/106,834
6. Step 6: Final answer
   x = 258,175.32