Finding the Third Proportional to 40,934 and 88,165

Step by Step Solution

1. Step 1: Write the proportion equation
   40,934 : 88,165 = 88,165 : x
2. Step 2: Convert to fraction form
   40,934/88,165 = 88,165/x
3. Step 3: Cross multiply
   40,934x = 88,165 × 88,165
4. Step 4: Simplify right side
   40,934x = 7,773,067,225
5. Step 5: Solve for x
   x = 7,773,067,225/40,934
6. Step 6: Final answer
   x = 189,892.69