Finding the Third Proportional to 105,656 and 216,173

Step by Step Solution

1. Step 1: Write the proportion equation
   105,656 : 216,173 = 216,173 : x
2. Step 2: Convert to fraction form
   105,656/216,173 = 216,173/x
3. Step 3: Cross multiply
   105,656x = 216,173 × 216,173
4. Step 4: Simplify right side
   105,656x = 46,730,765,929
5. Step 5: Solve for x
   x = 46,730,765,929/105,656
6. Step 6: Final answer
   x = 442,291.64