Finding the Third Proportional to 111,788 and 166,162

Step by Step Solution

1. Step 1: Write the proportion equation
   111,788 : 166,162 = 166,162 : x
2. Step 2: Convert to fraction form
   111,788/166,162 = 166,162/x
3. Step 3: Cross multiply
   111,788x = 166,162 × 166,162
4. Step 4: Simplify right side
   111,788x = 27,609,810,244
5. Step 5: Solve for x
   x = 27,609,810,244/111,788
6. Step 6: Final answer
   x = 246,983.67