Finding the Third Proportional to 90,164.25 and 192,836.25

Step by Step Solution

1. Step 1: Write the proportion equation
   90,164.25 : 192,836.25 = 192,836.25 : x
2. Step 2: Convert to fraction form
   90,164.25/192,836.25 = 192,836.25/x
3. Step 3: Cross multiply
   90,164.25x = 192,836.25 × 192,836.25
4. Step 4: Simplify right side
   90,164.25x = 37,185,819,314.06
5. Step 5: Solve for x
   x = 37,185,819,314.06/90,164.25
6. Step 6: Final answer
   x = 412,423.10