Finding the Third Proportional to 146,976 and 196,992

Step by Step Solution

1. Step 1: Write the proportion equation
   146,976 : 196,992 = 196,992 : x
2. Step 2: Convert to fraction form
   146,976/196,992 = 196,992/x
3. Step 3: Cross multiply
   146,976x = 196,992 × 196,992
4. Step 4: Simplify right side
   146,976x = 38,805,848,064
5. Step 5: Solve for x
   x = 38,805,848,064/146,976
6. Step 6: Final answer
   x = 264,028.47