Finding the Third Proportional to 145,658 and 196,795

Step by Step Solution

1. Step 1: Write the proportion equation
   145,658 : 196,795 = 196,795 : x
2. Step 2: Convert to fraction form
   145,658/196,795 = 196,795/x
3. Step 3: Cross multiply
   145,658x = 196,795 × 196,795
4. Step 4: Simplify right side
   145,658x = 38,728,272,025
5. Step 5: Solve for x
   x = 38,728,272,025/145,658
6. Step 6: Final answer
   x = 265,884.96