Finding the Third Proportional to 90,159 and 192,380

Step by Step Solution

1. Step 1: Write the proportion equation
   90,159 : 192,380 = 192,380 : x
2. Step 2: Convert to fraction form
   90,159/192,380 = 192,380/x
3. Step 3: Cross multiply
   90,159x = 192,380 × 192,380
4. Step 4: Simplify right side
   90,159x = 37,010,064,400
5. Step 5: Solve for x
   x = 37,010,064,400/90,159
6. Step 6: Final answer
   x = 410,497.73