Finding the Third Proportional to 40,878 and 89,112

Step by Step Solution

1. Step 1: Write the proportion equation
   40,878 : 89,112 = 89,112 : x
2. Step 2: Convert to fraction form
   40,878/89,112 = 89,112/x
3. Step 3: Cross multiply
   40,878x = 89,112 × 89,112
4. Step 4: Simplify right side
   40,878x = 7,940,948,544
5. Step 5: Solve for x
   x = 7,940,948,544/40,878
6. Step 6: Final answer
   x = 194,259.71