Finding the Third Proportional to 65,585 and 143,404

Step by Step Solution

1. Step 1: Write the proportion equation
   65,585 : 143,404 = 143,404 : x
2. Step 2: Convert to fraction form
   65,585/143,404 = 143,404/x
3. Step 3: Cross multiply
   65,585x = 143,404 × 143,404
4. Step 4: Simplify right side
   65,585x = 20,564,707,216
5. Step 5: Solve for x
   x = 20,564,707,216/65,585
6. Step 6: Final answer
   x = 313,558.09