Finding the Third Proportional to 122,978 and 187,019

Step by Step Solution

1. Step 1: Write the proportion equation
   122,978 : 187,019 = 187,019 : x
2. Step 2: Convert to fraction form
   122,978/187,019 = 187,019/x
3. Step 3: Cross multiply
   122,978x = 187,019 × 187,019
4. Step 4: Simplify right side
   122,978x = 34,976,106,361
5. Step 5: Solve for x
   x = 34,976,106,361/122,978
6. Step 6: Final answer
   x = 284,409.46