Finding the Third Proportional to 50,212 and 99,164

Step by Step Solution

1. Step 1: Write the proportion equation
   50,212 : 99,164 = 99,164 : x
2. Step 2: Convert to fraction form
   50,212/99,164 = 99,164/x
3. Step 3: Cross multiply
   50,212x = 99,164 × 99,164
4. Step 4: Simplify right side
   50,212x = 9,833,498,896
5. Step 5: Solve for x
   x = 9,833,498,896/50,212
6. Step 6: Final answer
   x = 195,839.62