Finding the Third Proportional to 106,814.50 and 166,054

Step by Step Solution

1. Step 1: Write the proportion equation
   106,814.50 : 166,054 = 166,054 : x
2. Step 2: Convert to fraction form
   106,814.50/166,054 = 166,054/x
3. Step 3: Cross multiply
   106,814.50x = 166,054 × 166,054
4. Step 4: Simplify right side
   106,814.50x = 27,573,930,916
5. Step 5: Solve for x
   x = 27,573,930,916/106,814.50
6. Step 6: Final answer
   x = 258,147.83