Finding the Third Proportional to 122,412 and 259,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,412 : 259,525.50 = 259,525.50 : x
2. Step 2: Convert to fraction form
   122,412/259,525.50 = 259,525.50/x
3. Step 3: Cross multiply
   122,412x = 259,525.50 × 259,525.50
4. Step 4: Simplify right side
   122,412x = 67,353,485,150.25
5. Step 5: Solve for x
   x = 67,353,485,150.25/122,412
6. Step 6: Final answer
   x = 550,219.63