Finding the Third Proportional to 131,447 and 196,946

Step by Step Solution

1. Step 1: Write the proportion equation
   131,447 : 196,946 = 196,946 : x
2. Step 2: Convert to fraction form
   131,447/196,946 = 196,946/x
3. Step 3: Cross multiply
   131,447x = 196,946 × 196,946
4. Step 4: Simplify right side
   131,447x = 38,787,726,916
5. Step 5: Solve for x
   x = 38,787,726,916/131,447
6. Step 6: Final answer
   x = 295,082.63