Finding the Third Proportional to 274,298 and 411,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,298 : 411,447.50 = 411,447.50 : x
2. Step 2: Convert to fraction form
   274,298/411,447.50 = 411,447.50/x
3. Step 3: Cross multiply
   274,298x = 411,447.50 × 411,447.50
4. Step 4: Simplify right side
   274,298x = 169,289,045,256.25
5. Step 5: Solve for x
   x = 169,289,045,256.25/274,298
6. Step 6: Final answer
   x = 617,172.00