Finding the Third Proportional to 131,460 and 196,968

Step by Step Solution

1. Step 1: Write the proportion equation
   131,460 : 196,968 = 196,968 : x
2. Step 2: Convert to fraction form
   131,460/196,968 = 196,968/x
3. Step 3: Cross multiply
   131,460x = 196,968 × 196,968
4. Step 4: Simplify right side
   131,460x = 38,796,393,024
5. Step 5: Solve for x
   x = 38,796,393,024/131,460
6. Step 6: Final answer
   x = 295,119.37