Finding the Third Proportional to 96,990 and 213,096

Step by Step Solution

1. Step 1: Write the proportion equation
   96,990 : 213,096 = 213,096 : x
2. Step 2: Convert to fraction form
   96,990/213,096 = 213,096/x
3. Step 3: Cross multiply
   96,990x = 213,096 × 213,096
4. Step 4: Simplify right side
   96,990x = 45,409,905,216
5. Step 5: Solve for x
   x = 45,409,905,216/96,990
6. Step 6: Final answer
   x = 468,191.62