Finding the Third Proportional to 65,936 and 144,697

Step by Step Solution

1. Step 1: Write the proportion equation
   65,936 : 144,697 = 144,697 : x
2. Step 2: Convert to fraction form
   65,936/144,697 = 144,697/x
3. Step 3: Cross multiply
   65,936x = 144,697 × 144,697
4. Step 4: Simplify right side
   65,936x = 20,937,221,809
5. Step 5: Solve for x
   x = 20,937,221,809/65,936
6. Step 6: Final answer
   x = 317,538.55