Finding the Third Proportional to 199,003.50 and 281,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,003.50 : 281,311.50 = 281,311.50 : x
2. Step 2: Convert to fraction form
   199,003.50/281,311.50 = 281,311.50/x
3. Step 3: Cross multiply
   199,003.50x = 281,311.50 × 281,311.50
4. Step 4: Simplify right side
   199,003.50x = 79,136,160,032.25
5. Step 5: Solve for x
   x = 79,136,160,032.25/199,003.50
6. Step 6: Final answer
   x = 397,662.15