Finding the Third Proportional to 122,811 and 268,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,811 : 268,534.50 = 268,534.50 : x
2. Step 2: Convert to fraction form
   122,811/268,534.50 = 268,534.50/x
3. Step 3: Cross multiply
   122,811x = 268,534.50 × 268,534.50
4. Step 4: Simplify right side
   122,811x = 72,110,777,690.25
5. Step 5: Solve for x
   x = 72,110,777,690.25/122,811
6. Step 6: Final answer
   x = 587,168.72