Finding the Third Proportional to 99,144 and 206,496

Step by Step Solution

1. Step 1: Write the proportion equation
   99,144 : 206,496 = 206,496 : x
2. Step 2: Convert to fraction form
   99,144/206,496 = 206,496/x
3. Step 3: Cross multiply
   99,144x = 206,496 × 206,496
4. Step 4: Simplify right side
   99,144x = 42,640,598,016
5. Step 5: Solve for x
   x = 42,640,598,016/99,144
6. Step 6: Final answer
   x = 430,087.53