Finding the Third Proportional to 105,200 and 227,248

Step by Step Solution

1. Step 1: Write the proportion equation
   105,200 : 227,248 = 227,248 : x
2. Step 2: Convert to fraction form
   105,200/227,248 = 227,248/x
3. Step 3: Cross multiply
   105,200x = 227,248 × 227,248
4. Step 4: Simplify right side
   105,200x = 51,641,653,504
5. Step 5: Solve for x
   x = 51,641,653,504/105,200
6. Step 6: Final answer
   x = 490,890.24