Finding the Third Proportional to 216,570 and 333,306

Step by Step Solution

1. Step 1: Write the proportion equation
   216,570 : 333,306 = 333,306 : x
2. Step 2: Convert to fraction form
   216,570/333,306 = 333,306/x
3. Step 3: Cross multiply
   216,570x = 333,306 × 333,306
4. Step 4: Simplify right side
   216,570x = 111,092,889,636
5. Step 5: Solve for x
   x = 111,092,889,636/216,570
6. Step 6: Final answer
   x = 512,965.28