Finding the Third Proportional to 105,360 and 229,656

Step by Step Solution

1. Step 1: Write the proportion equation
   105,360 : 229,656 = 229,656 : x
2. Step 2: Convert to fraction form
   105,360/229,656 = 229,656/x
3. Step 3: Cross multiply
   105,360x = 229,656 × 229,656
4. Step 4: Simplify right side
   105,360x = 52,741,878,336
5. Step 5: Solve for x
   x = 52,741,878,336/105,360
6. Step 6: Final answer
   x = 500,587.30