Finding the Third Proportional to 145,662 and 196,801

Step by Step Solution

1. Step 1: Write the proportion equation
   145,662 : 196,801 = 196,801 : x
2. Step 2: Convert to fraction form
   145,662/196,801 = 196,801/x
3. Step 3: Cross multiply
   145,662x = 196,801 × 196,801
4. Step 4: Simplify right side
   145,662x = 38,730,633,601
5. Step 5: Solve for x
   x = 38,730,633,601/145,662
6. Step 6: Final answer
   x = 265,893.87