Finding the Third Proportional to 90,036 and 193,698

Step by Step Solution

1. Step 1: Write the proportion equation
   90,036 : 193,698 = 193,698 : x
2. Step 2: Convert to fraction form
   90,036/193,698 = 193,698/x
3. Step 3: Cross multiply
   90,036x = 193,698 × 193,698
4. Step 4: Simplify right side
   90,036x = 37,518,915,204
5. Step 5: Solve for x
   x = 37,518,915,204/90,036
6. Step 6: Final answer
   x = 416,710.15