Finding the Third Proportional to 106,846 and 166,099

Step by Step Solution

1. Step 1: Write the proportion equation
   106,846 : 166,099 = 166,099 : x
2. Step 2: Convert to fraction form
   106,846/166,099 = 166,099/x
3. Step 3: Cross multiply
   106,846x = 166,099 × 166,099
4. Step 4: Simplify right side
   106,846x = 27,588,877,801
5. Step 5: Solve for x
   x = 27,588,877,801/106,846
6. Step 6: Final answer
   x = 258,211.61