Finding the Third Proportional to 120,123 and 187,191

Step by Step Solution

1. Step 1: Write the proportion equation
   120,123 : 187,191 = 187,191 : x
2. Step 2: Convert to fraction form
   120,123/187,191 = 187,191/x
3. Step 3: Cross multiply
   120,123x = 187,191 × 187,191
4. Step 4: Simplify right side
   120,123x = 35,040,470,481
5. Step 5: Solve for x
   x = 35,040,470,481/120,123
6. Step 6: Final answer
   x = 291,704.92