Finding the Third Proportional to 200,913 and 442,002

Step by Step Solution

1. Step 1: Write the proportion equation
   200,913 : 442,002 = 442,002 : x
2. Step 2: Convert to fraction form
   200,913/442,002 = 442,002/x
3. Step 3: Cross multiply
   200,913x = 442,002 × 442,002
4. Step 4: Simplify right side
   200,913x = 195,365,768,004
5. Step 5: Solve for x
   x = 195,365,768,004/200,913
6. Step 6: Final answer
   x = 972,389.88