Finding the Third Proportional to 207,823 and 448,096

Step by Step Solution

1. Step 1: Write the proportion equation
   207,823 : 448,096 = 448,096 : x
2. Step 2: Convert to fraction form
   207,823/448,096 = 448,096/x
3. Step 3: Cross multiply
   207,823x = 448,096 × 448,096
4. Step 4: Simplify right side
   207,823x = 200,790,025,216
5. Step 5: Solve for x
   x = 200,790,025,216/207,823
6. Step 6: Final answer
   x = 966,158.82