Finding the Third Proportional to 46,648 and 100,667

Step by Step Solution

1. Step 1: Write the proportion equation
   46,648 : 100,667 = 100,667 : x
2. Step 2: Convert to fraction form
   46,648/100,667 = 100,667/x
3. Step 3: Cross multiply
   46,648x = 100,667 × 100,667
4. Step 4: Simplify right side
   46,648x = 10,133,844,889
5. Step 5: Solve for x
   x = 10,133,844,889/46,648
6. Step 6: Final answer
   x = 217,240.72