Finding the Third Proportional to 261,755.50 and 415,152

Step by Step Solution

1. Step 1: Write the proportion equation
   261,755.50 : 415,152 = 415,152 : x
2. Step 2: Convert to fraction form
   261,755.50/415,152 = 415,152/x
3. Step 3: Cross multiply
   261,755.50x = 415,152 × 415,152
4. Step 4: Simplify right side
   261,755.50x = 172,351,183,104
5. Step 5: Solve for x
   x = 172,351,183,104/261,755.50
6. Step 6: Final answer
   x = 658,443.41