Finding the Third Proportional to 197,954 and 461,980

Step by Step Solution

1. Step 1: Write the proportion equation
   197,954 : 461,980 = 461,980 : x
2. Step 2: Convert to fraction form
   197,954/461,980 = 461,980/x
3. Step 3: Cross multiply
   197,954x = 461,980 × 461,980
4. Step 4: Simplify right side
   197,954x = 213,425,520,400
5. Step 5: Solve for x
   x = 213,425,520,400/197,954
6. Step 6: Final answer
   x = 1,078,157.15