Finding the Third Proportional to 275,538 and 421,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,538 : 421,456.50 = 421,456.50 : x
2. Step 2: Convert to fraction form
   275,538/421,456.50 = 421,456.50/x
3. Step 3: Cross multiply
   275,538x = 421,456.50 × 421,456.50
4. Step 4: Simplify right side
   275,538x = 177,625,581,392.25
5. Step 5: Solve for x
   x = 177,625,581,392.25/275,538
6. Step 6: Final answer
   x = 644,650.04