Finding the Third Proportional to 122,634 and 264,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,634 : 264,616.50 = 264,616.50 : x
2. Step 2: Convert to fraction form
   122,634/264,616.50 = 264,616.50/x
3. Step 3: Cross multiply
   122,634x = 264,616.50 × 264,616.50
4. Step 4: Simplify right side
   122,634x = 70,021,892,072.25
5. Step 5: Solve for x
   x = 70,021,892,072.25/122,634
6. Step 6: Final answer
   x = 570,982.70