Finding the Third Proportional to 50,406 and 107,184

Step by Step Solution

1. Step 1: Write the proportion equation
   50,406 : 107,184 = 107,184 : x
2. Step 2: Convert to fraction form
   50,406/107,184 = 107,184/x
3. Step 3: Cross multiply
   50,406x = 107,184 × 107,184
4. Step 4: Simplify right side
   50,406x = 11,488,409,856
5. Step 5: Solve for x
   x = 11,488,409,856/50,406
6. Step 6: Final answer
   x = 227,917.51