Finding the Third Proportional to 65,743 and 144,662

Step by Step Solution

1. Step 1: Write the proportion equation
   65,743 : 144,662 = 144,662 : x
2. Step 2: Convert to fraction form
   65,743/144,662 = 144,662/x
3. Step 3: Cross multiply
   65,743x = 144,662 × 144,662
4. Step 4: Simplify right side
   65,743x = 20,927,094,244
5. Step 5: Solve for x
   x = 20,927,094,244/65,743
6. Step 6: Final answer
   x = 318,316.69