Finding the Third Proportional to 102,240 and 213,696

Step by Step Solution

1. Step 1: Write the proportion equation
   102,240 : 213,696 = 213,696 : x
2. Step 2: Convert to fraction form
   102,240/213,696 = 213,696/x
3. Step 3: Cross multiply
   102,240x = 213,696 × 213,696
4. Step 4: Simplify right side
   102,240x = 45,665,980,416
5. Step 5: Solve for x
   x = 45,665,980,416/102,240
6. Step 6: Final answer
   x = 446,654.74