Finding the Third Proportional to 90,561 and 192,816

Step by Step Solution

1. Step 1: Write the proportion equation
   90,561 : 192,816 = 192,816 : x
2. Step 2: Convert to fraction form
   90,561/192,816 = 192,816/x
3. Step 3: Cross multiply
   90,561x = 192,816 × 192,816
4. Step 4: Simplify right side
   90,561x = 37,178,009,856
5. Step 5: Solve for x
   x = 37,178,009,856/90,561
6. Step 6: Final answer
   x = 410,530.03