Finding the Third Proportional to 146,962 and 228,123

Step by Step Solution

1. Step 1: Write the proportion equation
   146,962 : 228,123 = 228,123 : x
2. Step 2: Convert to fraction form
   146,962/228,123 = 228,123/x
3. Step 3: Cross multiply
   146,962x = 228,123 × 228,123
4. Step 4: Simplify right side
   146,962x = 52,040,103,129
5. Step 5: Solve for x
   x = 52,040,103,129/146,962
6. Step 6: Final answer
   x = 354,105.84