Finding the Third Proportional to 51,778 and 111,026

Step by Step Solution

1. Step 1: Write the proportion equation
   51,778 : 111,026 = 111,026 : x
2. Step 2: Convert to fraction form
   51,778/111,026 = 111,026/x
3. Step 3: Cross multiply
   51,778x = 111,026 × 111,026
4. Step 4: Simplify right side
   51,778x = 12,326,772,676
5. Step 5: Solve for x
   x = 12,326,772,676/51,778
6. Step 6: Final answer
   x = 238,069.70