Finding the Third Proportional to 45,936 and 111,168

Step by Step Solution

1. Step 1: Write the proportion equation
   45,936 : 111,168 = 111,168 : x
2. Step 2: Convert to fraction form
   45,936/111,168 = 111,168/x
3. Step 3: Cross multiply
   45,936x = 111,168 × 111,168
4. Step 4: Simplify right side
   45,936x = 12,358,324,224
5. Step 5: Solve for x
   x = 12,358,324,224/45,936
6. Step 6: Final answer
   x = 269,033.53