Finding the Third Proportional to 99,781 and 210,801

Step by Step Solution

1. Step 1: Write the proportion equation
   99,781 : 210,801 = 210,801 : x
2. Step 2: Convert to fraction form
   99,781/210,801 = 210,801/x
3. Step 3: Cross multiply
   99,781x = 210,801 × 210,801
4. Step 4: Simplify right side
   99,781x = 44,437,061,601
5. Step 5: Solve for x
   x = 44,437,061,601/99,781
6. Step 6: Final answer
   x = 445,345.92