Finding the Third Proportional to 122,577 and 262,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,577 : 262,648.50 = 262,648.50 : x
2. Step 2: Convert to fraction form
   122,577/262,648.50 = 262,648.50/x
3. Step 3: Cross multiply
   122,577x = 262,648.50 × 262,648.50
4. Step 4: Simplify right side
   122,577x = 68,984,234,552.25
5. Step 5: Solve for x
   x = 68,984,234,552.25/122,577
6. Step 6: Final answer
   x = 562,782.86