Finding the Third Proportional to 149,872 and 321,002

Step by Step Solution

1. Step 1: Write the proportion equation
   149,872 : 321,002 = 321,002 : x
2. Step 2: Convert to fraction form
   149,872/321,002 = 321,002/x
3. Step 3: Cross multiply
   149,872x = 321,002 × 321,002
4. Step 4: Simplify right side
   149,872x = 103,042,284,004
5. Step 5: Solve for x
   x = 103,042,284,004/149,872
6. Step 6: Final answer
   x = 687,535.26