Finding the Third Proportional to 199,970 and 281,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,970 : 281,243.50 = 281,243.50 : x
2. Step 2: Convert to fraction form
   199,970/281,243.50 = 281,243.50/x
3. Step 3: Cross multiply
   199,970x = 281,243.50 × 281,243.50
4. Step 4: Simplify right side
   199,970x = 79,097,906,292.25
5. Step 5: Solve for x
   x = 79,097,906,292.25/199,970
6. Step 6: Final answer
   x = 395,548.86