Finding the Third Proportional to 210,168 and 289,002

Step by Step Solution

1. Step 1: Write the proportion equation
   210,168 : 289,002 = 289,002 : x
2. Step 2: Convert to fraction form
   210,168/289,002 = 289,002/x
3. Step 3: Cross multiply
   210,168x = 289,002 × 289,002
4. Step 4: Simplify right side
   210,168x = 83,522,156,004
5. Step 5: Solve for x
   x = 83,522,156,004/210,168
6. Step 6: Final answer
   x = 397,406.63