Finding the Third Proportional to 65,796 and 144,714

Step by Step Solution

1. Step 1: Write the proportion equation
   65,796 : 144,714 = 144,714 : x
2. Step 2: Convert to fraction form
   65,796/144,714 = 144,714/x
3. Step 3: Cross multiply
   65,796x = 144,714 × 144,714
4. Step 4: Simplify right side
   65,796x = 20,942,141,796
5. Step 5: Solve for x
   x = 20,942,141,796/65,796
6. Step 6: Final answer
   x = 318,288.98