Finding the Third Proportional to 90,686 and 188,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,686 : 188,729.50 = 188,729.50 : x
2. Step 2: Convert to fraction form
   90,686/188,729.50 = 188,729.50/x
3. Step 3: Cross multiply
   90,686x = 188,729.50 × 188,729.50
4. Step 4: Simplify right side
   90,686x = 35,618,824,170.25
5. Step 5: Solve for x
   x = 35,618,824,170.25/90,686
6. Step 6: Final answer
   x = 392,770.93