Finding the Third Proportional to 65,575 and 140,499

Step by Step Solution

1. Step 1: Write the proportion equation
   65,575 : 140,499 = 140,499 : x
2. Step 2: Convert to fraction form
   65,575/140,499 = 140,499/x
3. Step 3: Cross multiply
   65,575x = 140,499 × 140,499
4. Step 4: Simplify right side
   65,575x = 19,739,969,001
5. Step 5: Solve for x
   x = 19,739,969,001/65,575
6. Step 6: Final answer
   x = 301,028.88