Finding the Third Proportional to 143,882 and 217,830

Step by Step Solution

1. Step 1: Write the proportion equation
   143,882 : 217,830 = 217,830 : x
2. Step 2: Convert to fraction form
   143,882/217,830 = 217,830/x
3. Step 3: Cross multiply
   143,882x = 217,830 × 217,830
4. Step 4: Simplify right side
   143,882x = 47,449,908,900
5. Step 5: Solve for x
   x = 47,449,908,900/143,882
6. Step 6: Final answer
   x = 329,783.50