Finding the Third Proportional to 131,082 and 196,458

Step by Step Solution

1. Step 1: Write the proportion equation
   131,082 : 196,458 = 196,458 : x
2. Step 2: Convert to fraction form
   131,082/196,458 = 196,458/x
3. Step 3: Cross multiply
   131,082x = 196,458 × 196,458
4. Step 4: Simplify right side
   131,082x = 38,595,745,764
5. Step 5: Solve for x
   x = 38,595,745,764/131,082
6. Step 6: Final answer
   x = 294,439.71