Finding the Third Proportional to 216,142 and 465,576

Step by Step Solution

1. Step 1: Write the proportion equation
   216,142 : 465,576 = 465,576 : x
2. Step 2: Convert to fraction form
   216,142/465,576 = 465,576/x
3. Step 3: Cross multiply
   216,142x = 465,576 × 465,576
4. Step 4: Simplify right side
   216,142x = 216,761,011,776
5. Step 5: Solve for x
   x = 216,761,011,776/216,142
6. Step 6: Final answer
   x = 1,002,863.91