Finding the Third Proportional to 65,744 and 143,764

Step by Step Solution

1. Step 1: Write the proportion equation
   65,744 : 143,764 = 143,764 : x
2. Step 2: Convert to fraction form
   65,744/143,764 = 143,764/x
3. Step 3: Cross multiply
   65,744x = 143,764 × 143,764
4. Step 4: Simplify right side
   65,744x = 20,668,087,696
5. Step 5: Solve for x
   x = 20,668,087,696/65,744
6. Step 6: Final answer
   x = 314,372.23