Finding the Third Proportional to 122,214 and 255,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,214 : 255,589.50 = 255,589.50 : x
2. Step 2: Convert to fraction form
   122,214/255,589.50 = 255,589.50/x
3. Step 3: Cross multiply
   122,214x = 255,589.50 × 255,589.50
4. Step 4: Simplify right side
   122,214x = 65,325,992,510.25
5. Step 5: Solve for x
   x = 65,325,992,510.25/122,214
6. Step 6: Final answer
   x = 534,521.35