Finding the Third Proportional to 274,473 and 412,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,473 : 412,369.50 = 412,369.50 : x
2. Step 2: Convert to fraction form
   274,473/412,369.50 = 412,369.50/x
3. Step 3: Cross multiply
   274,473x = 412,369.50 × 412,369.50
4. Step 4: Simplify right side
   274,473x = 170,048,604,530.25
5. Step 5: Solve for x
   x = 170,048,604,530.25/274,473
6. Step 6: Final answer
   x = 619,545.84