Finding the Third Proportional to 65,578 and 140,714

Step by Step Solution

1. Step 1: Write the proportion equation
   65,578 : 140,714 = 140,714 : x
2. Step 2: Convert to fraction form
   65,578/140,714 = 140,714/x
3. Step 3: Cross multiply
   65,578x = 140,714 × 140,714
4. Step 4: Simplify right side
   65,578x = 19,800,429,796
5. Step 5: Solve for x
   x = 19,800,429,796/65,578
6. Step 6: Final answer
   x = 301,937.08