Finding the Third Proportional to 197,898 and 466,680

Step by Step Solution

1. Step 1: Write the proportion equation
   197,898 : 466,680 = 466,680 : x
2. Step 2: Convert to fraction form
   197,898/466,680 = 466,680/x
3. Step 3: Cross multiply
   197,898x = 466,680 × 466,680
4. Step 4: Simplify right side
   197,898x = 217,790,222,400
5. Step 5: Solve for x
   x = 217,790,222,400/197,898
6. Step 6: Final answer
   x = 1,100,517.55