Finding the Third Proportional to 210,089 and 461,002

Step by Step Solution

1. Step 1: Write the proportion equation
   210,089 : 461,002 = 461,002 : x
2. Step 2: Convert to fraction form
   210,089/461,002 = 461,002/x
3. Step 3: Cross multiply
   210,089x = 461,002 × 461,002
4. Step 4: Simplify right side
   210,089x = 212,522,844,004
5. Step 5: Solve for x
   x = 212,522,844,004/210,089
6. Step 6: Final answer
   x = 1,011,584.82