Finding the Third Proportional to 122,268 and 259,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,268 : 259,255.50 = 259,255.50 : x
2. Step 2: Convert to fraction form
   122,268/259,255.50 = 259,255.50/x
3. Step 3: Cross multiply
   122,268x = 259,255.50 × 259,255.50
4. Step 4: Simplify right side
   122,268x = 67,213,414,280.25
5. Step 5: Solve for x
   x = 67,213,414,280.25/122,268
6. Step 6: Final answer
   x = 549,722.04