Finding the Third Proportional to 49,556 and 108,166

Step by Step Solution

1. Step 1: Write the proportion equation
   49,556 : 108,166 = 108,166 : x
2. Step 2: Convert to fraction form
   49,556/108,166 = 108,166/x
3. Step 3: Cross multiply
   49,556x = 108,166 × 108,166
4. Step 4: Simplify right side
   49,556x = 11,699,883,556
5. Step 5: Solve for x
   x = 11,699,883,556/49,556
6. Step 6: Final answer
   x = 236,094.19