Finding the Third Proportional to 210,024 and 460,872

Step by Step Solution

1. Step 1: Write the proportion equation
   210,024 : 460,872 = 460,872 : x
2. Step 2: Convert to fraction form
   210,024/460,872 = 460,872/x
3. Step 3: Cross multiply
   210,024x = 460,872 × 460,872
4. Step 4: Simplify right side
   210,024x = 212,403,000,384
5. Step 5: Solve for x
   x = 212,403,000,384/210,024
6. Step 6: Final answer
   x = 1,011,327.28