Finding the Third Proportional to 121,020 and 262,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,020 : 262,735.50 = 262,735.50 : x
2. Step 2: Convert to fraction form
   121,020/262,735.50 = 262,735.50/x
3. Step 3: Cross multiply
   121,020x = 262,735.50 × 262,735.50
4. Step 4: Simplify right side
   121,020x = 69,029,942,960.25
5. Step 5: Solve for x
   x = 69,029,942,960.25/121,020
6. Step 6: Final answer
   x = 570,401.12