Finding the Third Proportional to 65,718 and 146,748

Step by Step Solution

1. Step 1: Write the proportion equation
   65,718 : 146,748 = 146,748 : x
2. Step 2: Convert to fraction form
   65,718/146,748 = 146,748/x
3. Step 3: Cross multiply
   65,718x = 146,748 × 146,748
4. Step 4: Simplify right side
   65,718x = 21,534,975,504
5. Step 5: Solve for x
   x = 21,534,975,504/65,718
6. Step 6: Final answer
   x = 327,687.63