Finding the Third Proportional to 145,662 and 196,800

Step by Step Solution

1. Step 1: Write the proportion equation
   145,662 : 196,800 = 196,800 : x
2. Step 2: Convert to fraction form
   145,662/196,800 = 196,800/x
3. Step 3: Cross multiply
   145,662x = 196,800 × 196,800
4. Step 4: Simplify right side
   145,662x = 38,730,240,000
5. Step 5: Solve for x
   x = 38,730,240,000/145,662
6. Step 6: Final answer
   x = 265,891.17