Finding the Third Proportional to 122,783 and 264,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,783 : 264,458.50 = 264,458.50 : x
2. Step 2: Convert to fraction form
   122,783/264,458.50 = 264,458.50/x
3. Step 3: Cross multiply
   122,783x = 264,458.50 × 264,458.50
4. Step 4: Simplify right side
   122,783x = 69,938,298,222.25
5. Step 5: Solve for x
   x = 69,938,298,222.25/122,783
6. Step 6: Final answer
   x = 569,608.97