Finding the Third Proportional to 274,941 and 409,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,941 : 409,819.50 = 409,819.50 : x
2. Step 2: Convert to fraction form
   274,941/409,819.50 = 409,819.50/x
3. Step 3: Cross multiply
   274,941x = 409,819.50 × 409,819.50
4. Step 4: Simplify right side
   274,941x = 167,952,022,580.25
5. Step 5: Solve for x
   x = 167,952,022,580.25/274,941
6. Step 6: Final answer
   x = 610,865.69