Finding the Third Proportional to 41,760 and 89,888

Step by Step Solution

1. Step 1: Write the proportion equation
   41,760 : 89,888 = 89,888 : x
2. Step 2: Convert to fraction form
   41,760/89,888 = 89,888/x
3. Step 3: Cross multiply
   41,760x = 89,888 × 89,888
4. Step 4: Simplify right side
   41,760x = 8,079,852,544
5. Step 5: Solve for x
   x = 8,079,852,544/41,760
6. Step 6: Final answer
   x = 193,483.06