Finding the Third Proportional to 90,469 and 192,961

Step by Step Solution

1. Step 1: Write the proportion equation
   90,469 : 192,961 = 192,961 : x
2. Step 2: Convert to fraction form
   90,469/192,961 = 192,961/x
3. Step 3: Cross multiply
   90,469x = 192,961 × 192,961
4. Step 4: Simplify right side
   90,469x = 37,233,947,521
5. Step 5: Solve for x
   x = 37,233,947,521/90,469
6. Step 6: Final answer
   x = 411,565.81