Finding the Third Proportional to 90,049.50 and 192,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,049.50 : 192,829.50 = 192,829.50 : x
2. Step 2: Convert to fraction form
   90,049.50/192,829.50 = 192,829.50/x
3. Step 3: Cross multiply
   90,049.50x = 192,829.50 × 192,829.50
4. Step 4: Simplify right side
   90,049.50x = 37,183,216,070.25
5. Step 5: Solve for x
   x = 37,183,216,070.25/90,049.50
6. Step 6: Final answer
   x = 412,919.74