Finding the Third Proportional to 90,157 and 192,822

Step by Step Solution

1. Step 1: Write the proportion equation
   90,157 : 192,822 = 192,822 : x
2. Step 2: Convert to fraction form
   90,157/192,822 = 192,822/x
3. Step 3: Cross multiply
   90,157x = 192,822 × 192,822
4. Step 4: Simplify right side
   90,157x = 37,180,323,684
5. Step 5: Solve for x
   x = 37,180,323,684/90,157
6. Step 6: Final answer
   x = 412,395.31