Finding the Third Proportional to 216,783 and 333,627

Step by Step Solution

1. Step 1: Write the proportion equation
   216,783 : 333,627 = 333,627 : x
2. Step 2: Convert to fraction form
   216,783/333,627 = 333,627/x
3. Step 3: Cross multiply
   216,783x = 333,627 × 333,627
4. Step 4: Simplify right side
   216,783x = 111,306,975,129
5. Step 5: Solve for x
   x = 111,306,975,129/216,783
6. Step 6: Final answer
   x = 513,448.82