Finding the Third Proportional to 46,878 and 101,568

Step by Step Solution

1. Step 1: Write the proportion equation
   46,878 : 101,568 = 101,568 : x
2. Step 2: Convert to fraction form
   46,878/101,568 = 101,568/x
3. Step 3: Cross multiply
   46,878x = 101,568 × 101,568
4. Step 4: Simplify right side
   46,878x = 10,316,058,624
5. Step 5: Solve for x
   x = 10,316,058,624/46,878
6. Step 6: Final answer
   x = 220,061.83