Finding the Third Proportional to 46,584 and 100,546

Step by Step Solution

1. Step 1: Write the proportion equation
   46,584 : 100,546 = 100,546 : x
2. Step 2: Convert to fraction form
   46,584/100,546 = 100,546/x
3. Step 3: Cross multiply
   46,584x = 100,546 × 100,546
4. Step 4: Simplify right side
   46,584x = 10,109,498,116
5. Step 5: Solve for x
   x = 10,109,498,116/46,584
6. Step 6: Final answer
   x = 217,016.53