Finding the Third Proportional to 200,922 and 442,020

Step by Step Solution

1. Step 1: Write the proportion equation
   200,922 : 442,020 = 442,020 : x
2. Step 2: Convert to fraction form
   200,922/442,020 = 442,020/x
3. Step 3: Cross multiply
   200,922x = 442,020 × 442,020
4. Step 4: Simplify right side
   200,922x = 195,381,680,400
5. Step 5: Solve for x
   x = 195,381,680,400/200,922
6. Step 6: Final answer
   x = 972,425.52