Finding the Third Proportional to 41,778 and 90,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,778 : 90,215.50 = 90,215.50 : x
2. Step 2: Convert to fraction form
   41,778/90,215.50 = 90,215.50/x
3. Step 3: Cross multiply
   41,778x = 90,215.50 × 90,215.50
4. Step 4: Simplify right side
   41,778x = 8,138,836,440.25
5. Step 5: Solve for x
   x = 8,138,836,440.25/41,778
6. Step 6: Final answer
   x = 194,811.54