Finding the Third Proportional to 47,186 and 103,123

Step by Step Solution

1. Step 1: Write the proportion equation
   47,186 : 103,123 = 103,123 : x
2. Step 2: Convert to fraction form
   47,186/103,123 = 103,123/x
3. Step 3: Cross multiply
   47,186x = 103,123 × 103,123
4. Step 4: Simplify right side
   47,186x = 10,634,353,129
5. Step 5: Solve for x
   x = 10,634,353,129/47,186
6. Step 6: Final answer
   x = 225,370.94