Finding the Third Proportional to 49,778 and 104,166

Step by Step Solution

1. Step 1: Write the proportion equation
   49,778 : 104,166 = 104,166 : x
2. Step 2: Convert to fraction form
   49,778/104,166 = 104,166/x
3. Step 3: Cross multiply
   49,778x = 104,166 × 104,166
4. Step 4: Simplify right side
   49,778x = 10,850,555,556
5. Step 5: Solve for x
   x = 10,850,555,556/49,778
6. Step 6: Final answer
   x = 217,978.94