Finding the Third Proportional to 23,778 and 50,209

Step by Step Solution

1. Step 1: Write the proportion equation
   23,778 : 50,209 = 50,209 : x
2. Step 2: Convert to fraction form
   23,778/50,209 = 50,209/x
3. Step 3: Cross multiply
   23,778x = 50,209 × 50,209
4. Step 4: Simplify right side
   23,778x = 2,520,943,681
5. Step 5: Solve for x
   x = 2,520,943,681/23,778
6. Step 6: Final answer
   x = 106,020.01