Finding the Third Proportional to 20,177 and 43,123

Step by Step Solution

1. Step 1: Write the proportion equation
   20,177 : 43,123 = 43,123 : x
2. Step 2: Convert to fraction form
   20,177/43,123 = 43,123/x
3. Step 3: Cross multiply
   20,177x = 43,123 × 43,123
4. Step 4: Simplify right side
   20,177x = 1,859,593,129
5. Step 5: Solve for x
   x = 1,859,593,129/20,177
6. Step 6: Final answer
   x = 92,164.01