Finding the Third Proportional to 50,196 and 99,123

Step by Step Solution

1. Step 1: Write the proportion equation
   50,196 : 99,123 = 99,123 : x
2. Step 2: Convert to fraction form
   50,196/99,123 = 99,123/x
3. Step 3: Cross multiply
   50,196x = 99,123 × 99,123
4. Step 4: Simplify right side
   50,196x = 9,825,369,129
5. Step 5: Solve for x
   x = 9,825,369,129/50,196
6. Step 6: Final answer
   x = 195,740.08