Finding the Third Proportional to 210,010 and 460,844

Step by Step Solution

1. Step 1: Write the proportion equation
   210,010 : 460,844 = 460,844 : x
2. Step 2: Convert to fraction form
   210,010/460,844 = 460,844/x
3. Step 3: Cross multiply
   210,010x = 460,844 × 460,844
4. Step 4: Simplify right side
   210,010x = 212,377,192,336
5. Step 5: Solve for x
   x = 212,377,192,336/210,010
6. Step 6: Final answer
   x = 1,011,271.81