Finding the Third Proportional to 192,578 and 281,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,578 : 281,735.50 = 281,735.50 : x
2. Step 2: Convert to fraction form
   192,578/281,735.50 = 281,735.50/x
3. Step 3: Cross multiply
   192,578x = 281,735.50 × 281,735.50
4. Step 4: Simplify right side
   192,578x = 79,374,891,960.25
5. Step 5: Solve for x
   x = 79,374,891,960.25/192,578
6. Step 6: Final answer
   x = 412,170.09