Finding the Third Proportional to 91,778 and 188,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,778 : 188,496.50 = 188,496.50 : x
2. Step 2: Convert to fraction form
   91,778/188,496.50 = 188,496.50/x
3. Step 3: Cross multiply
   91,778x = 188,496.50 × 188,496.50
4. Step 4: Simplify right side
   91,778x = 35,530,930,512.25
5. Step 5: Solve for x
   x = 35,530,930,512.25/91,778
6. Step 6: Final answer
   x = 387,139.95