Finding the Third Proportional to 145,866 and 196,638

Step by Step Solution

1. Step 1: Write the proportion equation
   145,866 : 196,638 = 196,638 : x
2. Step 2: Convert to fraction form
   145,866/196,638 = 196,638/x
3. Step 3: Cross multiply
   145,866x = 196,638 × 196,638
4. Step 4: Simplify right side
   145,866x = 38,666,503,044
5. Step 5: Solve for x
   x = 38,666,503,044/145,866
6. Step 6: Final answer
   x = 265,082.36