Finding the Third Proportional to 45,096 and 100,544

Step by Step Solution

1. Step 1: Write the proportion equation
   45,096 : 100,544 = 100,544 : x
2. Step 2: Convert to fraction form
   45,096/100,544 = 100,544/x
3. Step 3: Cross multiply
   45,096x = 100,544 × 100,544
4. Step 4: Simplify right side
   45,096x = 10,109,095,936
5. Step 5: Solve for x
   x = 10,109,095,936/45,096
6. Step 6: Final answer
   x = 224,168.35