Finding the Third Proportional to 65,144 and 103,544

Step by Step Solution

1. Step 1: Write the proportion equation
   65,144 : 103,544 = 103,544 : x
2. Step 2: Convert to fraction form
   65,144/103,544 = 103,544/x
3. Step 3: Cross multiply
   65,144x = 103,544 × 103,544
4. Step 4: Simplify right side
   65,144x = 10,721,359,936
5. Step 5: Solve for x
   x = 10,721,359,936/65,144
6. Step 6: Final answer
   x = 164,579.39