Finding the Third Proportional to 216,144 and 465,580

Step by Step Solution

1. Step 1: Write the proportion equation
   216,144 : 465,580 = 465,580 : x
2. Step 2: Convert to fraction form
   216,144/465,580 = 465,580/x
3. Step 3: Cross multiply
   216,144x = 465,580 × 465,580
4. Step 4: Simplify right side
   216,144x = 216,764,736,400
5. Step 5: Solve for x
   x = 216,764,736,400/216,144
6. Step 6: Final answer
   x = 1,002,871.87