Finding the Third Proportional to 109,704 and 165,906

Step by Step Solution

1. Step 1: Write the proportion equation
   109,704 : 165,906 = 165,906 : x
2. Step 2: Convert to fraction form
   109,704/165,906 = 165,906/x
3. Step 3: Cross multiply
   109,704x = 165,906 × 165,906
4. Step 4: Simplify right side
   109,704x = 27,524,800,836
5. Step 5: Solve for x
   x = 27,524,800,836/109,704
6. Step 6: Final answer
   x = 250,900.61