Finding the Third Proportional to 210,816 and 460,544

Step by Step Solution

1. Step 1: Write the proportion equation
   210,816 : 460,544 = 460,544 : x
2. Step 2: Convert to fraction form
   210,816/460,544 = 460,544/x
3. Step 3: Cross multiply
   210,816x = 460,544 × 460,544
4. Step 4: Simplify right side
   210,816x = 212,100,775,936
5. Step 5: Solve for x
   x = 212,100,775,936/210,816
6. Step 6: Final answer
   x = 1,006,094.30