Finding the Third Proportional to 196,892 and 295,274

Step by Step Solution

1. Step 1: Write the proportion equation
   196,892 : 295,274 = 295,274 : x
2. Step 2: Convert to fraction form
   196,892/295,274 = 295,274/x
3. Step 3: Cross multiply
   196,892x = 295,274 × 295,274
4. Step 4: Simplify right side
   196,892x = 87,186,735,076
5. Step 5: Solve for x
   x = 87,186,735,076/196,892
6. Step 6: Final answer
   x = 442,815.02