Finding the Third Proportional to 210,838 and 460,588

Step by Step Solution

1. Step 1: Write the proportion equation
   210,838 : 460,588 = 460,588 : x
2. Step 2: Convert to fraction form
   210,838/460,588 = 460,588/x
3. Step 3: Cross multiply
   210,838x = 460,588 × 460,588
4. Step 4: Simplify right side
   210,838x = 212,141,305,744
5. Step 5: Solve for x
   x = 212,141,305,744/210,838
6. Step 6: Final answer
   x = 1,006,181.55