Finding the Third Proportional to 122,782 and 264,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,782 : 264,456.50 = 264,456.50 : x
2. Step 2: Convert to fraction form
   122,782/264,456.50 = 264,456.50/x
3. Step 3: Cross multiply
   122,782x = 264,456.50 × 264,456.50
4. Step 4: Simplify right side
   122,782x = 69,937,240,392.25
5. Step 5: Solve for x
   x = 69,937,240,392.25/122,782
6. Step 6: Final answer
   x = 569,604.99