Finding the Third Proportional to 216,884 and 333,780

Step by Step Solution

1. Step 1: Write the proportion equation
   216,884 : 333,780 = 333,780 : x
2. Step 2: Convert to fraction form
   216,884/333,780 = 333,780/x
3. Step 3: Cross multiply
   216,884x = 333,780 × 333,780
4. Step 4: Simplify right side
   216,884x = 111,409,088,400
5. Step 5: Solve for x
   x = 111,409,088,400/216,884
6. Step 6: Final answer
   x = 513,680.53