Finding the Third Proportional to 106,191 and 228,123

Step by Step Solution

1. Step 1: Write the proportion equation
   106,191 : 228,123 = 228,123 : x
2. Step 2: Convert to fraction form
   106,191/228,123 = 228,123/x
3. Step 3: Cross multiply
   106,191x = 228,123 × 228,123
4. Step 4: Simplify right side
   106,191x = 52,040,103,129
5. Step 5: Solve for x
   x = 52,040,103,129/106,191
6. Step 6: Final answer
   x = 490,061.33