Finding the Third Proportional to 65,784 and 144,684

Step by Step Solution

1. Step 1: Write the proportion equation
   65,784 : 144,684 = 144,684 : x
2. Step 2: Convert to fraction form
   65,784/144,684 = 144,684/x
3. Step 3: Cross multiply
   65,784x = 144,684 × 144,684
4. Step 4: Simplify right side
   65,784x = 20,933,459,856
5. Step 5: Solve for x
   x = 20,933,459,856/65,784
6. Step 6: Final answer
   x = 318,215.07