Finding the Third Proportional to 122,665.50 and 263,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,665.50 : 263,065.50 = 263,065.50 : x
2. Step 2: Convert to fraction form
   122,665.50/263,065.50 = 263,065.50/x
3. Step 3: Cross multiply
   122,665.50x = 263,065.50 × 263,065.50
4. Step 4: Simplify right side
   122,665.50x = 69,203,457,290.25
5. Step 5: Solve for x
   x = 69,203,457,290.25/122,665.50
6. Step 6: Final answer
   x = 564,163.98