Finding the Third Proportional to 213,576 and 469,786

Step by Step Solution

1. Step 1: Write the proportion equation
   213,576 : 469,786 = 469,786 : x
2. Step 2: Convert to fraction form
   213,576/469,786 = 469,786/x
3. Step 3: Cross multiply
   213,576x = 469,786 × 469,786
4. Step 4: Simplify right side
   213,576x = 220,698,885,796
5. Step 5: Solve for x
   x = 220,698,885,796/213,576
6. Step 6: Final answer
   x = 1,033,350.59