Finding the Third Proportional to 46,564 and 100,568

Step by Step Solution

1. Step 1: Write the proportion equation
   46,564 : 100,568 = 100,568 : x
2. Step 2: Convert to fraction form
   46,564/100,568 = 100,568/x
3. Step 3: Cross multiply
   46,564x = 100,568 × 100,568
4. Step 4: Simplify right side
   46,564x = 10,113,922,624
5. Step 5: Solve for x
   x = 10,113,922,624/46,564
6. Step 6: Final answer
   x = 217,204.76