Finding the Third Proportional to 99,910 and 213,992

Step by Step Solution

1. Step 1: Write the proportion equation
   99,910 : 213,992 = 213,992 : x
2. Step 2: Convert to fraction form
   99,910/213,992 = 213,992/x
3. Step 3: Cross multiply
   99,910x = 213,992 × 213,992
4. Step 4: Simplify right side
   99,910x = 45,792,576,064
5. Step 5: Solve for x
   x = 45,792,576,064/99,910
6. Step 6: Final answer
   x = 458,338.27