Finding the Third Proportional to 75,944.50 and 166,186

Step by Step Solution

1. Step 1: Write the proportion equation
   75,944.50 : 166,186 = 166,186 : x
2. Step 2: Convert to fraction form
   75,944.50/166,186 = 166,186/x
3. Step 3: Cross multiply
   75,944.50x = 166,186 × 166,186
4. Step 4: Simplify right side
   75,944.50x = 27,617,786,596
5. Step 5: Solve for x
   x = 27,617,786,596/75,944.50
6. Step 6: Final answer
   x = 363,657.49