Finding the Third Proportional to 90,141.75 and 192,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,141.75 : 192,348.50 = 192,348.50 : x
2. Step 2: Convert to fraction form
   90,141.75/192,348.50 = 192,348.50/x
3. Step 3: Cross multiply
   90,141.75x = 192,348.50 × 192,348.50
4. Step 4: Simplify right side
   90,141.75x = 36,997,945,452.25
5. Step 5: Solve for x
   x = 36,997,945,452.25/90,141.75
6. Step 6: Final answer
   x = 410,441.84