Finding the Third Proportional to 197,514 and 465,968

Step by Step Solution

1. Step 1: Write the proportion equation
   197,514 : 465,968 = 465,968 : x
2. Step 2: Convert to fraction form
   197,514/465,968 = 465,968/x
3. Step 3: Cross multiply
   197,514x = 465,968 × 465,968
4. Step 4: Simplify right side
   197,514x = 217,126,177,024
5. Step 5: Solve for x
   x = 217,126,177,024/197,514
6. Step 6: Final answer
   x = 1,099,295.12