Finding the Third Proportional to 216,780 and 333,624

Step by Step Solution

1. Step 1: Write the proportion equation
   216,780 : 333,624 = 333,624 : x
2. Step 2: Convert to fraction form
   216,780/333,624 = 333,624/x
3. Step 3: Cross multiply
   216,780x = 333,624 × 333,624
4. Step 4: Simplify right side
   216,780x = 111,304,973,376
5. Step 5: Solve for x
   x = 111,304,973,376/216,780
6. Step 6: Final answer
   x = 513,446.69