Finding the Third Proportional to 274,374 and 412,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,374 : 412,291.50 = 412,291.50 : x
2. Step 2: Convert to fraction form
   274,374/412,291.50 = 412,291.50/x
3. Step 3: Cross multiply
   274,374x = 412,291.50 × 412,291.50
4. Step 4: Simplify right side
   274,374x = 169,984,280,972.25
5. Step 5: Solve for x
   x = 169,984,280,972.25/274,374
6. Step 6: Final answer
   x = 619,534.94