Finding the Third Proportional to 65,689 and 143,647

Step by Step Solution

1. Step 1: Write the proportion equation
   65,689 : 143,647 = 143,647 : x
2. Step 2: Convert to fraction form
   65,689/143,647 = 143,647/x
3. Step 3: Cross multiply
   65,689x = 143,647 × 143,647
4. Step 4: Simplify right side
   65,689x = 20,634,460,609
5. Step 5: Solve for x
   x = 20,634,460,609/65,689
6. Step 6: Final answer
   x = 314,123.53