Finding the Third Proportional to 105,196 and 227,240

Step by Step Solution

1. Step 1: Write the proportion equation
   105,196 : 227,240 = 227,240 : x
2. Step 2: Convert to fraction form
   105,196/227,240 = 227,240/x
3. Step 3: Cross multiply
   105,196x = 227,240 × 227,240
4. Step 4: Simplify right side
   105,196x = 51,638,017,600
5. Step 5: Solve for x
   x = 51,638,017,600/105,196
6. Step 6: Final answer
   x = 490,874.35