Finding the Third Proportional to 50,222 and 99,184

Step by Step Solution

1. Step 1: Write the proportion equation
   50,222 : 99,184 = 99,184 : x
2. Step 2: Convert to fraction form
   50,222/99,184 = 99,184/x
3. Step 3: Cross multiply
   50,222x = 99,184 × 99,184
4. Step 4: Simplify right side
   50,222x = 9,837,465,856
5. Step 5: Solve for x
   x = 9,837,465,856/50,222
6. Step 6: Final answer
   x = 195,879.61