Finding the Third Proportional to 99,458 and 214,801

Step by Step Solution

1. Step 1: Write the proportion equation
   99,458 : 214,801 = 214,801 : x
2. Step 2: Convert to fraction form
   99,458/214,801 = 214,801/x
3. Step 3: Cross multiply
   99,458x = 214,801 × 214,801
4. Step 4: Simplify right side
   99,458x = 46,139,469,601
5. Step 5: Solve for x
   x = 46,139,469,601/99,458
6. Step 6: Final answer
   x = 463,909.08