Finding the Third Proportional to 96,851 and 209,002

Step by Step Solution

1. Step 1: Write the proportion equation
   96,851 : 209,002 = 209,002 : x
2. Step 2: Convert to fraction form
   96,851/209,002 = 209,002/x
3. Step 3: Cross multiply
   96,851x = 209,002 × 209,002
4. Step 4: Simplify right side
   96,851x = 43,681,836,004
5. Step 5: Solve for x
   x = 43,681,836,004/96,851
6. Step 6: Final answer
   x = 451,021.01