Finding the Third Proportional to 200,978 and 436,828

Step by Step Solution

1. Step 1: Write the proportion equation
   200,978 : 436,828 = 436,828 : x
2. Step 2: Convert to fraction form
   200,978/436,828 = 436,828/x
3. Step 3: Cross multiply
   200,978x = 436,828 × 436,828
4. Step 4: Simplify right side
   200,978x = 190,818,701,584
5. Step 5: Solve for x
   x = 190,818,701,584/200,978
6. Step 6: Final answer
   x = 949,450.69