Finding the Third Proportional to 197,876 and 466,634

Step by Step Solution

1. Step 1: Write the proportion equation
   197,876 : 466,634 = 466,634 : x
2. Step 2: Convert to fraction form
   197,876/466,634 = 466,634/x
3. Step 3: Cross multiply
   197,876x = 466,634 × 466,634
4. Step 4: Simplify right side
   197,876x = 217,747,289,956
5. Step 5: Solve for x
   x = 217,747,289,956/197,876
6. Step 6: Final answer
   x = 1,100,422.94