Finding the Third Proportional to 210,832 and 460,576

Step by Step Solution

1. Step 1: Write the proportion equation
   210,832 : 460,576 = 460,576 : x
2. Step 2: Convert to fraction form
   210,832/460,576 = 460,576/x
3. Step 3: Cross multiply
   210,832x = 460,576 × 460,576
4. Step 4: Simplify right side
   210,832x = 212,130,251,776
5. Step 5: Solve for x
   x = 212,130,251,776/210,832
6. Step 6: Final answer
   x = 1,006,157.75