Finding the Third Proportional to 41,225 and 88,291

Step by Step Solution

1. Step 1: Write the proportion equation
   41,225 : 88,291 = 88,291 : x
2. Step 2: Convert to fraction form
   41,225/88,291 = 88,291/x
3. Step 3: Cross multiply
   41,225x = 88,291 × 88,291
4. Step 4: Simplify right side
   41,225x = 7,795,300,681
5. Step 5: Solve for x
   x = 7,795,300,681/41,225
6. Step 6: Final answer
   x = 189,091.59