Finding the Third Proportional to 122,596 and 264,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,596 : 264,544.50 = 264,544.50 : x
2. Step 2: Convert to fraction form
   122,596/264,544.50 = 264,544.50/x
3. Step 3: Cross multiply
   122,596x = 264,544.50 × 264,544.50
4. Step 4: Simplify right side
   122,596x = 69,983,792,480.25
5. Step 5: Solve for x
   x = 69,983,792,480.25/122,596
6. Step 6: Final answer
   x = 570,848.91