Finding the Third Proportional to 40,936 and 89,168

Step by Step Solution

1. Step 1: Write the proportion equation
   40,936 : 89,168 = 89,168 : x
2. Step 2: Convert to fraction form
   40,936/89,168 = 89,168/x
3. Step 3: Cross multiply
   40,936x = 89,168 × 89,168
4. Step 4: Simplify right side
   40,936x = 7,950,932,224
5. Step 5: Solve for x
   x = 7,950,932,224/40,936
6. Step 6: Final answer
   x = 194,228.36