Finding the Third Proportional to 55,683 and 120,123

Step by Step Solution

1. Step 1: Write the proportion equation
   55,683 : 120,123 = 120,123 : x
2. Step 2: Convert to fraction form
   55,683/120,123 = 120,123/x
3. Step 3: Cross multiply
   55,683x = 120,123 × 120,123
4. Step 4: Simplify right side
   55,683x = 14,429,535,129
5. Step 5: Solve for x
   x = 14,429,535,129/55,683
6. Step 6: Final answer
   x = 259,137.17