Finding the Third Proportional to 192,576 and 281,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,576 : 281,731.50 = 281,731.50 : x
2. Step 2: Convert to fraction form
   192,576/281,731.50 = 281,731.50/x
3. Step 3: Cross multiply
   192,576x = 281,731.50 × 281,731.50
4. Step 4: Simplify right side
   192,576x = 79,372,638,092.25
5. Step 5: Solve for x
   x = 79,372,638,092.25/192,576
6. Step 6: Final answer
   x = 412,162.67