Finding the Third Proportional to 65,666 and 145,372

Step by Step Solution

1. Step 1: Write the proportion equation
   65,666 : 145,372 = 145,372 : x
2. Step 2: Convert to fraction form
   65,666/145,372 = 145,372/x
3. Step 3: Cross multiply
   65,666x = 145,372 × 145,372
4. Step 4: Simplify right side
   65,666x = 21,133,018,384
5. Step 5: Solve for x
   x = 21,133,018,384/65,666
6. Step 6: Final answer
   x = 321,825.88