Finding the Third Proportional to 65,586 and 143,484

Step by Step Solution

1. Step 1: Write the proportion equation
   65,586 : 143,484 = 143,484 : x
2. Step 2: Convert to fraction form
   65,586/143,484 = 143,484/x
3. Step 3: Cross multiply
   65,586x = 143,484 × 143,484
4. Step 4: Simplify right side
   65,586x = 20,587,658,256
5. Step 5: Solve for x
   x = 20,587,658,256/65,586
6. Step 6: Final answer
   x = 313,903.25