Finding the Third Proportional to 99,022 and 206,204

Step by Step Solution

1. Step 1: Write the proportion equation
   99,022 : 206,204 = 206,204 : x
2. Step 2: Convert to fraction form
   99,022/206,204 = 206,204/x
3. Step 3: Cross multiply
   99,022x = 206,204 × 206,204
4. Step 4: Simplify right side
   99,022x = 42,520,089,616
5. Step 5: Solve for x
   x = 42,520,089,616/99,022
6. Step 6: Final answer
   x = 429,400.43