Finding the Third Proportional to 109,814 and 166,105

Step by Step Solution

1. Step 1: Write the proportion equation
   109,814 : 166,105 = 166,105 : x
2. Step 2: Convert to fraction form
   109,814/166,105 = 166,105/x
3. Step 3: Cross multiply
   109,814x = 166,105 × 166,105
4. Step 4: Simplify right side
   109,814x = 27,590,871,025
5. Step 5: Solve for x
   x = 27,590,871,025/109,814
6. Step 6: Final answer
   x = 251,250.94