Finding the Third Proportional to 65,525 and 140,398

Step by Step Solution

1. Step 1: Write the proportion equation
   65,525 : 140,398 = 140,398 : x
2. Step 2: Convert to fraction form
   65,525/140,398 = 140,398/x
3. Step 3: Cross multiply
   65,525x = 140,398 × 140,398
4. Step 4: Simplify right side
   65,525x = 19,711,598,404
5. Step 5: Solve for x
   x = 19,711,598,404/65,525
6. Step 6: Final answer
   x = 300,825.61