Finding the Third Proportional to 99,504 and 213,696

Step by Step Solution

1. Step 1: Write the proportion equation
   99,504 : 213,696 = 213,696 : x
2. Step 2: Convert to fraction form
   99,504/213,696 = 213,696/x
3. Step 3: Cross multiply
   99,504x = 213,696 × 213,696
4. Step 4: Simplify right side
   99,504x = 45,665,980,416
5. Step 5: Solve for x
   x = 45,665,980,416/99,504
6. Step 6: Final answer
   x = 458,936.13