Finding the Third Proportional to 46,496 and 100,864

Step by Step Solution

1. Step 1: Write the proportion equation
   46,496 : 100,864 = 100,864 : x
2. Step 2: Convert to fraction form
   46,496/100,864 = 100,864/x
3. Step 3: Cross multiply
   46,496x = 100,864 × 100,864
4. Step 4: Simplify right side
   46,496x = 10,173,546,496
5. Step 5: Solve for x
   x = 10,173,546,496/46,496
6. Step 6: Final answer
   x = 218,804.77