Finding the Third Proportional to 105,921 and 165,132

Step by Step Solution

1. Step 1: Write the proportion equation
   105,921 : 165,132 = 165,132 : x
2. Step 2: Convert to fraction form
   105,921/165,132 = 165,132/x
3. Step 3: Cross multiply
   105,921x = 165,132 × 165,132
4. Step 4: Simplify right side
   105,921x = 27,268,577,424
5. Step 5: Solve for x
   x = 27,268,577,424/105,921
6. Step 6: Final answer
   x = 257,442.60