Finding the Third Proportional to 145,714 and 196,858

Step by Step Solution

1. Step 1: Write the proportion equation
   145,714 : 196,858 = 196,858 : x
2. Step 2: Convert to fraction form
   145,714/196,858 = 196,858/x
3. Step 3: Cross multiply
   145,714x = 196,858 × 196,858
4. Step 4: Simplify right side
   145,714x = 38,753,072,164
5. Step 5: Solve for x
   x = 38,753,072,164/145,714
6. Step 6: Final answer
   x = 265,952.98