Finding the Third Proportional to 99,223 and 213,998

Step by Step Solution

1. Step 1: Write the proportion equation
   99,223 : 213,998 = 213,998 : x
2. Step 2: Convert to fraction form
   99,223/213,998 = 213,998/x
3. Step 3: Cross multiply
   99,223x = 213,998 × 213,998
4. Step 4: Simplify right side
   99,223x = 45,795,144,004
5. Step 5: Solve for x
   x = 45,795,144,004/99,223
6. Step 6: Final answer
   x = 461,537.59