Finding the Third Proportional to 99,721 and 215,096

Step by Step Solution

1. Step 1: Write the proportion equation
   99,721 : 215,096 = 215,096 : x
2. Step 2: Convert to fraction form
   99,721/215,096 = 215,096/x
3. Step 3: Cross multiply
   99,721x = 215,096 × 215,096
4. Step 4: Simplify right side
   99,721x = 46,266,289,216
5. Step 5: Solve for x
   x = 46,266,289,216/99,721
6. Step 6: Final answer
   x = 463,957.33