Finding the Third Proportional to 65,753 and 142,714

Step by Step Solution

1. Step 1: Write the proportion equation
   65,753 : 142,714 = 142,714 : x
2. Step 2: Convert to fraction form
   65,753/142,714 = 142,714/x
3. Step 3: Cross multiply
   65,753x = 142,714 × 142,714
4. Step 4: Simplify right side
   65,753x = 20,367,285,796
5. Step 5: Solve for x
   x = 20,367,285,796/65,753
6. Step 6: Final answer
   x = 309,754.47