Finding the Third Proportional to 102,456 and 223,592

Step by Step Solution

1. Step 1: Write the proportion equation
   102,456 : 223,592 = 223,592 : x
2. Step 2: Convert to fraction form
   102,456/223,592 = 223,592/x
3. Step 3: Cross multiply
   102,456x = 223,592 × 223,592
4. Step 4: Simplify right side
   102,456x = 49,993,382,464
5. Step 5: Solve for x
   x = 49,993,382,464/102,456
6. Step 6: Final answer
   x = 487,949.78