Finding the Third Proportional to 82,512 and 143,856

Step by Step Solution

1. Step 1: Write the proportion equation
   82,512 : 143,856 = 143,856 : x
2. Step 2: Convert to fraction form
   82,512/143,856 = 143,856/x
3. Step 3: Cross multiply
   82,512x = 143,856 × 143,856
4. Step 4: Simplify right side
   82,512x = 20,694,548,736
5. Step 5: Solve for x
   x = 20,694,548,736/82,512
6. Step 6: Final answer
   x = 250,806.53