Finding the Third Proportional to 199,552 and 434,016

Step by Step Solution

1. Step 1: Write the proportion equation
   199,552 : 434,016 = 434,016 : x
2. Step 2: Convert to fraction form
   199,552/434,016 = 434,016/x
3. Step 3: Cross multiply
   199,552x = 434,016 × 434,016
4. Step 4: Simplify right side
   199,552x = 188,369,888,256
5. Step 5: Solve for x
   x = 188,369,888,256/199,552
6. Step 6: Final answer
   x = 943,963.92