Finding the Third Proportional to 65,740 and 144,656

Step by Step Solution

1. Step 1: Write the proportion equation
   65,740 : 144,656 = 144,656 : x
2. Step 2: Convert to fraction form
   65,740/144,656 = 144,656/x
3. Step 3: Cross multiply
   65,740x = 144,656 × 144,656
4. Step 4: Simplify right side
   65,740x = 20,925,358,336
5. Step 5: Solve for x
   x = 20,925,358,336/65,740
6. Step 6: Final answer
   x = 318,304.81