Finding the Third Proportional to 105,911 and 165,118

Step by Step Solution

1. Step 1: Write the proportion equation
   105,911 : 165,118 = 165,118 : x
2. Step 2: Convert to fraction form
   105,911/165,118 = 165,118/x
3. Step 3: Cross multiply
   105,911x = 165,118 × 165,118
4. Step 4: Simplify right side
   105,911x = 27,263,953,924
5. Step 5: Solve for x
   x = 27,263,953,924/105,911
6. Step 6: Final answer
   x = 257,423.25