Finding the Third Proportional to 210,828 and 460,984

Step by Step Solution

1. Step 1: Write the proportion equation
   210,828 : 460,984 = 460,984 : x
2. Step 2: Convert to fraction form
   210,828/460,984 = 460,984/x
3. Step 3: Cross multiply
   210,828x = 460,984 × 460,984
4. Step 4: Simplify right side
   210,828x = 212,506,248,256
5. Step 5: Solve for x
   x = 212,506,248,256/210,828
6. Step 6: Final answer
   x = 1,007,960.27