Finding the Third Proportional to 210,022 and 460,864

Step by Step Solution

1. Step 1: Write the proportion equation
   210,022 : 460,864 = 460,864 : x
2. Step 2: Convert to fraction form
   210,022/460,864 = 460,864/x
3. Step 3: Cross multiply
   210,022x = 460,864 × 460,864
4. Step 4: Simplify right side
   210,022x = 212,395,626,496
5. Step 5: Solve for x
   x = 212,395,626,496/210,022
6. Step 6: Final answer
   x = 1,011,301.80