Finding the Third Proportional to 275,665.50 and 413,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,665.50 : 413,610.50 = 413,610.50 : x
2. Step 2: Convert to fraction form
   275,665.50/413,610.50 = 413,610.50/x
3. Step 3: Cross multiply
   275,665.50x = 413,610.50 × 413,610.50
4. Step 4: Simplify right side
   275,665.50x = 171,073,645,710.25
5. Step 5: Solve for x
   x = 171,073,645,710.25/275,665.50
6. Step 6: Final answer
   x = 620,584.17