Finding the Third Proportional to 65,746 and 143,768

Step by Step Solution

1. Step 1: Write the proportion equation
   65,746 : 143,768 = 143,768 : x
2. Step 2: Convert to fraction form
   65,746/143,768 = 143,768/x
3. Step 3: Cross multiply
   65,746x = 143,768 × 143,768
4. Step 4: Simplify right side
   65,746x = 20,669,237,824
5. Step 5: Solve for x
   x = 20,669,237,824/65,746
6. Step 6: Final answer
   x = 314,380.16