Finding the Third Proportional to 40,916 and 88,096

Step by Step Solution

1. Step 1: Write the proportion equation
   40,916 : 88,096 = 88,096 : x
2. Step 2: Convert to fraction form
   40,916/88,096 = 88,096/x
3. Step 3: Cross multiply
   40,916x = 88,096 × 88,096
4. Step 4: Simplify right side
   40,916x = 7,760,905,216
5. Step 5: Solve for x
   x = 7,760,905,216/40,916
6. Step 6: Final answer
   x = 189,678.98