Finding the Third Proportional to 261,754.50 and 415,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,754.50 : 415,150.50 = 415,150.50 : x
2. Step 2: Convert to fraction form
   261,754.50/415,150.50 = 415,150.50/x
3. Step 3: Cross multiply
   261,754.50x = 415,150.50 × 415,150.50
4. Step 4: Simplify right side
   261,754.50x = 172,349,937,650.25
5. Step 5: Solve for x
   x = 172,349,937,650.25/261,754.50
6. Step 6: Final answer
   x = 658,441.16