Finding the Third Proportional to 261,757.50 and 415,155

Step by Step Solution

1. Step 1: Write the proportion equation
   261,757.50 : 415,155 = 415,155 : x
2. Step 2: Convert to fraction form
   261,757.50/415,155 = 415,155/x
3. Step 3: Cross multiply
   261,757.50x = 415,155 × 415,155
4. Step 4: Simplify right side
   261,757.50x = 172,353,674,025
5. Step 5: Solve for x
   x = 172,353,674,025/261,757.50
6. Step 6: Final answer
   x = 658,447.89