Finding the Third Proportional to 105,647 and 230,248

Step by Step Solution

1. Step 1: Write the proportion equation
   105,647 : 230,248 = 230,248 : x
2. Step 2: Convert to fraction form
   105,647/230,248 = 230,248/x
3. Step 3: Cross multiply
   105,647x = 230,248 × 230,248
4. Step 4: Simplify right side
   105,647x = 53,014,141,504
5. Step 5: Solve for x
   x = 53,014,141,504/105,647
6. Step 6: Final answer
   x = 501,804.51