Finding the Third Proportional to 122,256 and 187,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,256 : 187,015.50 = 187,015.50 : x
2. Step 2: Convert to fraction form
   122,256/187,015.50 = 187,015.50/x
3. Step 3: Cross multiply
   122,256x = 187,015.50 × 187,015.50
4. Step 4: Simplify right side
   122,256x = 34,974,797,240.25
5. Step 5: Solve for x
   x = 34,974,797,240.25/122,256
6. Step 6: Final answer
   x = 286,078.37