Finding the Third Proportional to 50,210 and 109,166

Step by Step Solution

1. Step 1: Write the proportion equation
   50,210 : 109,166 = 109,166 : x
2. Step 2: Convert to fraction form
   50,210/109,166 = 109,166/x
3. Step 3: Cross multiply
   50,210x = 109,166 × 109,166
4. Step 4: Simplify right side
   50,210x = 11,917,215,556
5. Step 5: Solve for x
   x = 11,917,215,556/50,210
6. Step 6: Final answer
   x = 237,347.45