Finding the Third Proportional to 200,918 and 442,012

Step by Step Solution

1. Step 1: Write the proportion equation
   200,918 : 442,012 = 442,012 : x
2. Step 2: Convert to fraction form
   200,918/442,012 = 442,012/x
3. Step 3: Cross multiply
   200,918x = 442,012 × 442,012
4. Step 4: Simplify right side
   200,918x = 195,374,608,144
5. Step 5: Solve for x
   x = 195,374,608,144/200,918
6. Step 6: Final answer
   x = 972,409.68