Finding the Third Proportional to 122,780 and 264,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,780 : 264,452.50 = 264,452.50 : x
2. Step 2: Convert to fraction form
   122,780/264,452.50 = 264,452.50/x
3. Step 3: Cross multiply
   122,780x = 264,452.50 × 264,452.50
4. Step 4: Simplify right side
   122,780x = 69,935,124,756.25
5. Step 5: Solve for x
   x = 69,935,124,756.25/122,780
6. Step 6: Final answer
   x = 569,597.04