Finding the Third Proportional to 198,016 and 466,960

Step by Step Solution

1. Step 1: Write the proportion equation
   198,016 : 466,960 = 466,960 : x
2. Step 2: Convert to fraction form
   198,016/466,960 = 466,960/x
3. Step 3: Cross multiply
   198,016x = 466,960 × 466,960
4. Step 4: Simplify right side
   198,016x = 218,051,641,600
5. Step 5: Solve for x
   x = 218,051,641,600/198,016
6. Step 6: Final answer
   x = 1,101,181.93