Finding the Third Proportional to 117,540.75 and 165,162

Step by Step Solution

1. Step 1: Write the proportion equation
   117,540.75 : 165,162 = 165,162 : x
2. Step 2: Convert to fraction form
   117,540.75/165,162 = 165,162/x
3. Step 3: Cross multiply
   117,540.75x = 165,162 × 165,162
4. Step 4: Simplify right side
   117,540.75x = 27,278,486,244
5. Step 5: Solve for x
   x = 27,278,486,244/117,540.75
6. Step 6: Final answer
   x = 232,076.84