Finding the Third Proportional to 41,184 and 88,680

Step by Step Solution

1. Step 1: Write the proportion equation
   41,184 : 88,680 = 88,680 : x
2. Step 2: Convert to fraction form
   41,184/88,680 = 88,680/x
3. Step 3: Cross multiply
   41,184x = 88,680 × 88,680
4. Step 4: Simplify right side
   41,184x = 7,864,142,400
5. Step 5: Solve for x
   x = 7,864,142,400/41,184
6. Step 6: Final answer
   x = 190,951.40