Finding the Third Proportional to 41,120 and 88,642

Step by Step Solution

1. Step 1: Write the proportion equation
   41,120 : 88,642 = 88,642 : x
2. Step 2: Convert to fraction form
   41,120/88,642 = 88,642/x
3. Step 3: Cross multiply
   41,120x = 88,642 × 88,642
4. Step 4: Simplify right side
   41,120x = 7,857,404,164
5. Step 5: Solve for x
   x = 7,857,404,164/41,120
6. Step 6: Final answer
   x = 191,084.73