Finding the Third Proportional to 213,496 and 464,576

Step by Step Solution

1. Step 1: Write the proportion equation
   213,496 : 464,576 = 464,576 : x
2. Step 2: Convert to fraction form
   213,496/464,576 = 464,576/x
3. Step 3: Cross multiply
   213,496x = 464,576 × 464,576
4. Step 4: Simplify right side
   213,496x = 215,830,859,776
5. Step 5: Solve for x
   x = 215,830,859,776/213,496
6. Step 6: Final answer
   x = 1,010,936.32