Finding the Third Proportional to 105,217 and 227,380

Step by Step Solution

1. Step 1: Write the proportion equation
   105,217 : 227,380 = 227,380 : x
2. Step 2: Convert to fraction form
   105,217/227,380 = 227,380/x
3. Step 3: Cross multiply
   105,217x = 227,380 × 227,380
4. Step 4: Simplify right side
   105,217x = 51,701,664,400
5. Step 5: Solve for x
   x = 51,701,664,400/105,217
6. Step 6: Final answer
   x = 491,381.28