Finding the Third Proportional to 46,536 and 100,944

Step by Step Solution

1. Step 1: Write the proportion equation
   46,536 : 100,944 = 100,944 : x
2. Step 2: Convert to fraction form
   46,536/100,944 = 100,944/x
3. Step 3: Cross multiply
   46,536x = 100,944 × 100,944
4. Step 4: Simplify right side
   46,536x = 10,189,691,136
5. Step 5: Solve for x
   x = 10,189,691,136/46,536
6. Step 6: Final answer
   x = 218,963.62