Finding the Third Proportional to 22,778 and 49,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,778 : 49,942.50 = 49,942.50 : x
2. Step 2: Convert to fraction form
   22,778/49,942.50 = 49,942.50/x
3. Step 3: Cross multiply
   22,778x = 49,942.50 × 49,942.50
4. Step 4: Simplify right side
   22,778x = 2,494,253,306.25
5. Step 5: Solve for x
   x = 2,494,253,306.25/22,778
6. Step 6: Final answer
   x = 109,502.74