Finding the Third Proportional to 274,356 and 412,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,356 : 412,264.50 = 412,264.50 : x
2. Step 2: Convert to fraction form
   274,356/412,264.50 = 412,264.50/x
3. Step 3: Cross multiply
   274,356x = 412,264.50 × 412,264.50
4. Step 4: Simplify right side
   274,356x = 169,962,017,960.25
5. Step 5: Solve for x
   x = 169,962,017,960.25/274,356
6. Step 6: Final answer
   x = 619,494.45