Finding the Third Proportional to 108,910 and 165,007

Step by Step Solution

1. Step 1: Write the proportion equation
   108,910 : 165,007 = 165,007 : x
2. Step 2: Convert to fraction form
   108,910/165,007 = 165,007/x
3. Step 3: Cross multiply
   108,910x = 165,007 × 165,007
4. Step 4: Simplify right side
   108,910x = 27,227,310,049
5. Step 5: Solve for x
   x = 27,227,310,049/108,910
6. Step 6: Final answer
   x = 249,998.26